Graph the Set of Solutions to a System of Inequalities | Relations, Algebra, Domain and Range

How do we graph the set of solutions to a system of inequalities? How do we find the domain and range of the solution set? This sort of set is a type of relation, and we go over the steps involved in graphing it, and finding its domain and range in today’s math lesson!
If you have graphed a system of inequalities before, then most of this process should be familiar to you! All we have to do is graph the system of inequalities given in the set, and then identify the feasible region, which is the region satisfying all of the inequalities under consideration. Remember to make your lines dotted when they represent the boundary of a strict inequality (less than/greater than) and make your lines solid when they represent the boundary of a non-strict inequality (less than or equal to/greater than or equal to).
That feasible region is the set of ordered pairs we were trying to graph, so just shade it in and label it! Then, to find the domain and range, we must identify the lower and upper bound for x values in the region, and the lower and upper bound for y values in the region. Then, paying close attention to whether or not those bounds are actually in the region, we can write the domain and range using interval notation!
I hope you find this video helpful, and be sure to ask any questions down in the comments!
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The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
Vallow Bandcamp: vallow.bandcam...
Vallow Spotify: open.spotify.c...
Vallow SoundCloud: / benwatts-3
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[@diboratsegaye2656]

U got the domain and range part clear which I haven't seen on other vedios...I appreciate bro 👍 deserves thousands of veiws

[@WrathofMath]

Glad to help - thanks for watching!

[@Selam-ld9yo]

God bless you both of you. You tell my entire comment in just 3 phrases

[@diambarabas2624]

This video showed me toyally diff approach to domain andnrangr. Never understood they could reflect x and y values on a grid. Most tutorials on range and domain made me somewhat confused. Thank you!

[@WrathofMath]

So glad to help, thanks for watching!

[@yaredgetahun5595]

It's very clear thank you for making Maths understandable

[@WrathofMath]

Glad to help!

[@Selam-ld9yo]

Thank you for helping me it's such a great thing for me

[@WrathofMath]

Glad to help, thanks for watching!

[@Obsera7]

thanks man but, what application you use

[@efaweyessa1892]

(0,0) can't satisfy the equation

[@Selam-ld9yo]

You are best man

[@jozzeytzdtube7738]

Thank you

[@WrathofMath]

Glad to help!

[@tsioneshetu6010]

It' help full for me

[@suatozcan1813]

Wonderful.

[@WrathofMath]

Thank you!

[@BulchaKamil]

❤