Converse, Inverse, Contrapositive, Biconditional Statements
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- เผยแพร่เมื่อ 1 ต.ค. 2024
- Learn how to find the converse, inverse, contrapositive, and biconditional given a conditional statement in this free math video tutorial by Mario's Math Tutoring. We go through some examples.
0:27 Explanation of Conditional, Converse, Inverse, & Contrapositive
3:07 Example 1
4:37 Example 2
6:55 Writing a Bi-Conditional Statement
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Like this video? Check out my Geometry Final Exam Giant Review here: th-cam.com/video/bisO7SaR9Os/w-d-xo.html
Thanks a lot for a good explaining and good teaching
I have a question:
Is the following statements a good definition? Explain
1) A square is figure with 4 right angles.
2) Obtuse angles have greater measures than a cute angles
This is the part of Geometry that makes me go: "Is this math?"
It’s called ‘logic’ and yes it is part of math...kind of different i know.
Yeah right, initially I thought it was out from the law books
No, it is not MATH nor logistics.
This is a way of controlling the way you think and the way YOU NEED TO ANSWER STATEMENTS to comply with some people in the government 🙄😑
This is better than my professor's videos by trillions of
miles
Glad my videos are helping you !
same
Yup
Glad you benefitted from the video!
bold of you to assume i benefited
@@johnfritz4052 kinda rude
@@johnfritz4052 stop it.. be kind.. he is working very hard to provide us with knowledge. it's your fault if you don't understand even though he made it easy to understand and explained very clearly. get off from the tiktok. study more your life gets better
Thanks a lot for a good explaining and good teaching
I have a question:
Is the following statements a good definition? Explain
1) A square is figure with 4 right angles.
2) Obtuse angles have greater measures than a cute angles
@@malak1382f a RECTANGLE is a figure with four right angles. A square is a figure with 4 right angles AND sides of equal length
3:14 nope... that’s why i’m here 😂
thanks a lot sir. finally understood the biconditional statement.
+Muthu N P your welcome! Glad that makes sense....oh and no sir...please call me Mario!
Really helpful. Can't wait to see that high score on my math exam like last time.
Glad my video helped you! Report back if you want and let us all know how you did on your test...good luck! Do well!
Well with me "if I study, I MIGHT make a good grade" XD
Black Mask lol
For me it doesnt matter whether or I study, I still get a failing grade
My professor confused the heck out of me. This was much easier to understand :)
N.B: P occurs before Q in every situation
e.g: If you study (P) then you will get a good grade (Q).
You always study before you even get back a grade, therefore, with the fact that P occurs before Q, studying would be P and getting a good grade would be Q.
That's the only thing that I found that could be confusing to viewers, so I felt compelled to share this truth :) ;D
Actually, Order on the context does not matter here, If you can convert the written statement into logical form like p and q, you just have to follow the rules. Dont worry about order here, it will be a helpful tip as I learned the hard way lol.
I went from not understanding math
to not understanding english
thanks alot, tic tac
Thank you Sir, It really helps me a lot since my exams are tomorrow.
+Cristina Ayala your welcome. Good luck on your exams!
It's a me, Mario!
😒
Dude this comment was written two years ago
@@elizabethserrano7484 ik
@@realityhurtsdoesntit3636 where’s ur picture from
I had to search 20 minutes because I did not save this video but I am so happy I found it. This video is exactly what you should be watching when understanding these topics. THANKYOU MARIO!
your the only one online teacher that i understand great video!
omg thank you so much!!!!
I now you do math videos, but can you do grammer/ELA videos
+ALI VLOGS my channel is just focused on math..I’m glad you are liking my channel....
May God bless you for the good work done, I have understood. Thanks alot!
Glad it helped!
Thanks, this really helped! I get it so much more now! You are better at explaining this then my math teacher. I subscribed! :)
+Ryan P. Glad the video helped you. Thanks for being a subscriber!
I’m so greatful for your videos!! You’ve helped teens from 5 years ago up until now with this video , thank you😊
I'm so glad!
🇮🇳 love from India
I appreciate you for making these videos they help me understand my lessons so much more. 🙏
6:52 as far as i know as a converse statment in this question it would be :
If they are perpendicular then 2 lines form right angle .
I know it doesnt make any sense but this what i heard that it shouldn't make sense 😂, so i wanted to ask is this right ? And is my answer right?
CEO ENTREPRENAUR, BORN IN 1964. JEFFREY, JEFFREY BEZOZ. CMON JEFFREY YOU CAN DO IT. PAVE THE WAY PUT YOUR BACK INTO IT. TELL US WHY SHOW US HOW LOOK AT WHERE U CAME FROM LOOK AT YOU NOW...
I seriously could not thank you enough for this video. This is so clear and understandable.
You're very welcome!
Hi Mr. Mario it really helps with my activities, even though you upload it six years ago😅😅😅😅
fire
Two lines form right angles then they are perpendicular. Is this true for lines in three dimensions where they may or may not intersect?
Find and simplify the contrapositive of the contrapositive of if p then q
u did not get a good grade, then u didn't study. well what if you got sick or the teacher made a very hard test. it's not a true statement
What if the sentence is
If it is red, then it is not a cabbage.
What is the converse statement?
If you have a statement separated by then let one be p and the other be q
The inverse and converse are NOT ALWAYS the same for example:
If a number is divisible by 4 then it is divisible by 2.
-Converse: If it is divisible by 2, then it is divisible by 4. (this is false because of a number such as 6, or 10 )
-Inverse: If it is not divisible my 4, then it is not divisible my 2. (this is true because of a number like 5 or 9 )
The inverse and the converse have the same truth value just like the conditional and contrapositive have the same truth value. Which is to say they are either both true or both false.
very well explained!! This will definitely help my students .. thank you so much!!
Glad it was helpful!
You really helped me understand the concepts. HOWEVER, you forgot to do the Inverse and the Contrapositive on the Right Angles & Perpendicular Example (approximately 6:31). You ONLY did the Conditional, the Converse, and the BiConditional. Please REPLY with the Inverse and the Contrapositive. And, please also say whether or not either one of them is true.
this helped a lot I'm taking the class as an 8th grader and get very confused sometimes
+Football Swag I'm glad this video helped you understand these concepts better. Thanks for the positive feedback.
Football Swag im grade 8 too this is our topic too lol
When he teaches better than my math teacher, love u Mario!
Syd. .Hartman for real 😭
Glad you like my videos Syd!
plz help........Given the statement, "If you have completed the Geometry course, then you are a better person."
Give:
1) The Inverse of that statement.
2) The Converse of that statement.
3) The Contrapositive of that statement.
4) Which of the above is definitely true if the given statement is true?
Thanks! this video helped so much and I'm confident for my test tomorrow!
+Eshita M glad my video helped you. Good luck on your test! Report back, if you want, and let us know how you did.
What is the biconditional statement of " a ray is a part of a line...? Thasnks
converse may be rational and irrational.
this video makes me hate my math teacher so much
i now have a clearer concept of this ,
thankkkk youu!!!
+Joanna Morrison Your welcome. I'm glad the video helped clear things up.
Can we call it antecedent and consequence?
can you make math less annoying
how do you inverse this ? please help. If today is Sunday, then there is no school today.
inverse what
what do you need to inverse
Hhhh. After much practice , its become easier. 😊 Thanks for your lessons!
omg you're a life saver! thank youu
You’re welcome! Glad it helped you!
Wait, if you study ,then you'll get a good grade is not always true. People study and get bad grades.
thank you so much!
Top notch video easy to understand. Thanks 😁
Glad it helped!
Will u marry me coz i cant stop u watching.. Hey what i m taking about mathematics....
superb vid.understood the entire concept well.the guy who disliked this video doesn't know maths.
+kavith viswanath glad you liked the video. Thanks for letting me know! -Mario
The guy who disliked must be a teacher :D
thank you! This really helped me with discrete math.
+Danielle Ernspiker Your welcome! Glad it helped you!
Thank you. Seriously thank you
You’re welcome! Glad my video helped you!
man, this was VERY VERY HELPFUL, You deserve more than a million subscribers! Btw u gained a new sub
+LeoDahVee glad my video helped you! Thanks for being a part of the channel! You can see an organized list of my videos to help you in your class through the link on my about page on my TH-cam channel.-Mario
You have a way of using words that are easier to understand. Thanks!
I finally understood this concept! 🥺😭 Thank you so much, sir.
You are the hero that computer science students deserve
Glad you like my videos!
Nice CLEAR explanation! Thank you! 🌟💪
What an absolute chad
Took a class this summer on these concepts. Now my class this fall, the teaches says the opposite. Good thing this video reinforces what was originally taught. Thanks. I was going bonkers for a second.
Glad my video helped you Daniel!
Thank u very much. I have a test tom and I have no idea about our topic cuz our teacher doesn't really teach and just give an answer sheet and let us figure it out by ourselves. Finally I understand it and I feel like I might ace the test thanks to u
Good luck on the test Yumi! Report back if you want and let us all know you did.
Mario's Math Tutoring thank u so much that I perfected my math exam. It is actually rare for me to get a perfect grade and thanks to you I did. I look forward to more of your teachings. Thank u😊
Your welcome Yumi! Glad to hear you did well on your exam!
better than mrs. swain. gave me an f cuz i used pen.
Thank you good sir now I don't have any problems with math due to your help.
Great! Glad my video helped you!
It's so professional and I have benefitted a lot.
Thank Mr.
I am going to take my exams tomorrow and this really helped me. I was touched when he said that he would love us to be his subscriber so I subscribed because he wants to help us boost our knowledge . How sweet is that . THANK YOU SIR YOURE REALLY A GREAT HELP!
Good luck on your exams tomorrow Sabelle! I’m glad my videos have been able to help you!
thank you so much
I finally got it!!! It took me a few times to watch the video...Well, several.... but, I understand it a little bit better!! Thank you!!
You’re welcome! Glad my video helped you!
Omg!!! This helped me so much!i am in 8th grade and my teacher speaks mostly Russian and I can barely understand!!! Thanks!!!
Glad my video helped you!
Bro, after 7 hours of boring school, and not learning a single thing, I've learned more in this 1 video than my teacher giving me a lecture in the front of the room xD
Glad my video helped you Ben!
triconditional!
Thanks for the brilliant and easiest explanation i have ever watched in only 8 minutes!!.
Hope u may get billions of blessings!
Thanks a lot
You’re welcome Prakhar! Glad you liked the video!
your my hero!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+Obake17 glad my video helped you.
Thanks sir
Thank you
i have finals n this video became a life saver man thnk u!!!!!!!!!!!! as m d wrost when it comes to maths
+Dharti Patel I'm glad my videos are able to help you. Good luck with your finals!
Jonysince
May I ask what if the question goes like this:
Converse: If a triangle is a scalene, then two sides are not equal
then what will be the inverse of this statement?
Andrea Smith if two sides are equal, then a triangle is not a scalene
hero
+Mario's Math Tutoring So today, after watching a bunch of math videos (one them is this specific video of yours) for Geometry, I had a couple of questions to answer and one of them were "The compound statement (p --> q)(q --> --> p) is a conjunction of two ____." I wasn't sure what the answer was most because of the two arrows going in the same direction, which was different than how most people represent biconditionals. Can someone please explain?
+Matt_Master8711 I'm not sure I completely understand your question however I can tell you that if both the conditional statement and the converse statement are both true than you can combine them into a biconditional statement. Also if you have a true biconditional statement you can rewrite it as two true statements one being the conditional and the other the converse. Hope that helps.
Mario's Math Tutoring OK. Thanks!
is the “if you study” statement true or false?
If a statement is true for conditional and converse it can be written as Biconditional statement right?
+Will ' that's correct! You got it!
Thanks so much for making this video. Really helpfull
You’re welcome Claudia!
Thanks, this really helped!
You’re welcome Nate! Glad my video helped you!
thanks sir, if i dint see your video maybe il get zero in math reporting
Glad my video helped you!
thanks a lot you explained the biconditional better than my geometry teacher
+Alan renteria your welcome! Glad the video helped you.
Im confused why you can say that it's not necessarily true if you get a good grade then you studied, but you say for sure that if you study then you will get a good grade. That isn't necessarily true either. You could study and not get a good grade.
Brianna...I should have picked a mathematical example...the thing to remember is that if the original conditional is true then the contrapositive will also be true ( they both are true or Both are false...they have the same ‘truth’ value) however the converse is not guaranteed to be true just because the conditional is true (
Hope that clears it up...
It does, thank you so much!
You’re welcome!
If you study you will get a good gradeis not neccesarily true but if it was true then the contrapositive would be (if you did not get a good grade you did not study). It is easier to understand if you use something like if you have a tricycle it will have 3 wheels. That is true so that means that if you dont have three wheels you dont have a tricycle is also true.
If you have a tricycle it will have 3 wheels is the conditional and if you dont have three wheels you dont have a tricycle is the contrapositive. It is a little bit hard to understand when you use untrue statements but is also important to understand because you will sometimes be asked to find the contrapositive with untrue statements.
I liked this video you made it very interesting made it better understood.
I’m glad my video helped you Christopher!
thank you so much this helped a lot because I don't understand my teacher
+Sydney Osmus I'm glad this video was able to help you.
Sooooo helpful thank you so much this gained you a subscriber
+Frošt Raid glad you found the video helpful and welcome to the channel!
Better than Mapua Institute of Technology all instructors combined! Im glad Mario you are here on you tube
Thanks Walter! Glad you like my videos and they are helping you!
Crystal clear explanations.
Thanks for such a video!
You’re welcome!
Thank you a lot this helped me better then a a week full of working on this in school
+BeshaarTV your welcome! Glad my video helped you!
This video helped me
+John Raban great! I'm glad my video helped you!
very easiest way you have teached
Clearly explained.. thanks, many have tried this is one of the best...
Glad you liked the video Ahmad!
Could you go over the truth value tables for each ?
thanks sir passed my test yesterday because of you
+Jasper Jaucian wow that's great! Good job!
I wish lot of teachers like you are in this 🌍
+Jasper Jaucian thank you for the nice compliment. Glad my channel is helping you.
Thanks for your efforts
You’re welcome Adel!