Hey! Thank you so much for the videos, they are insanely helpful when self-studying the A-level. I just have a question - will you be deleting/updating any more topics? I’m just curious as I’ve planned my studying around them :) thanks again, you’re a legend!
Thanks for the videos they've really been a help. But I've got a question. When you do set notation, is it necessary to add in the 'e R' as I saw my teacher write the set notation as {x: x>2}.? Once again thanks for the videos. I do ocr mei.
Well that's okayish, if it is clear what values of x you're taking. The reason why we put "belongs to the real numbers" is that otherwise are we saying x belongs to the natural numbers? To the integers? To the the rationals? To the complex numbers? It depends on the context and sometimes this is obvious, while others it is not.
Do you not have to specify that 'x E R' in interval notation? If so, is set notation the type of notation that gives you the most information about what x actually could be (complex, real etc.) ?
No you don't have to as [5,6) is taken to be across the reals unless otherwise defined. It doesn't make sense to use it for complex numbers. If you wanted it to only mean integers, then you would have to say that.
@@TLMaths Around 8 minutes (in the video) you say it goes the other way towards infinity negatively on the # line And the X as we see is sitting nicely towards the other end (where the # line would progress towards numbers higher than -3). So if -3 and X are placed in opposite directions That way, then X can be -2, -1, 0, 1, 2, 3, ... (Any of these numbers). So how come X is less than -3. It can be equal to it but not less than it. Or is it that you have written X there to Highlight that it's sitting on the X axis. Or is it that this is line X and our number x is placed on it accordingly? Thanks. Regards.
![A-Level Maths B5-02 [Inequalities: Writing Inequalities in Set Notation and Interval Notation]](http://i.ytimg.com/vi/0HdEYoBvdYk/mqdefault.jpg)
![A-Level Maths B5-02 [Inequalities: Writing Inequalities in Set Notation and Interval Notation]](/img/tr.png)
![A-Level Maths B5-12 [Inequalities: Examples of Solving Quadratic Inequalities]](/img/n.gif)
I absolutely adore your videos! You deserve to be a billionaire! Thank you so much, I am so grateful to you!
Just finished my gcses and self studying a level maths in preparation for yr 12 this is extremely helpfull cheers Jack!
im doing that lol
how is it going for you
Hey! Thank you so much for the videos, they are insanely helpful when self-studying the A-level. I just have a question - will you be deleting/updating any more topics? I’m just curious as I’ve planned my studying around them :) thanks again, you’re a legend!
I'm not planning on it... so you're probably safe!
@@TLMaths ah that's good to know :D thanks again, will be buying the question books from your website once I get far enough with the syllabus!
Incredibly useful. Thank you so much!
I do further maths A levels and we didnt get taught set notation, thank you!!!!!!!
This sounds kinda stupid but would u say a level further maths is easier then a level maths
@@H1289-h8o Further mathematics is about as hard as a level mathematics, but includes more content (which makes it harder I suppose).
@@H1289-h8o Further maths is definitely harder
Great job buddy sir good job!!
we love you :(
Thanks for the videos they've really been a help.
But I've got a question.
When you do set notation, is it necessary to add in the 'e R' as I saw my teacher write the set notation as {x: x>2}.?
Once again thanks for the videos.
I do ocr mei.
Well that's okayish, if it is clear what values of x you're taking. The reason why we put "belongs to the real numbers" is that otherwise are we saying x belongs to the natural numbers? To the integers? To the the rationals? To the complex numbers? It depends on the context and sometimes this is obvious, while others it is not.
Thanks a lot
Do you not have to specify that 'x E R' in interval notation?
If so, is set notation the type of notation that gives you the most information about what x actually could be (complex, real etc.) ?
No you don't have to as [5,6) is taken to be across the reals unless otherwise defined. It doesn't make sense to use it for complex numbers. If you wanted it to only mean integers, then you would have to say that.
In the second number line x=‐3 is okay (can be), however how is x
I've shaded the line to the left, not to the right, so not sure what you mean?
@@TLMaths Around 8 minutes (in the video) you say it goes the other way towards infinity negatively on the # line And the X as we see is sitting nicely towards the other end (where the # line would progress towards numbers higher than -3). So if -3 and X are placed in opposite directions That way, then X can be -2, -1, 0, 1, 2, 3, ... (Any of these numbers). So how come X is less than -3. It can be equal to it but not less than it.
Or is it that you have written X there to Highlight that it's sitting on the X axis.
Or is it that this is line X and our number x is placed on it accordingly?
Thanks.
Regards.
I've drawn an x-axis, and then I've shaded the region to the left of -3 (including -3), which is the region x
@@TLMaths Understood.
Thanks.