Express the given set in interval notation and graph. { \left\lbrace\right. x x ∣ | x ≤ 7 x\le7 } \}

Hey y'all, let's take a look at this practice problem. So I want to express the given set in interval notation and then graph it on a number line. And here my set is x is less than or equal to 7. Now in interval notation, since x is less than or equal to 7, I know that one of my endpoints is going to be 7 and since it can go all the way anything less than 7, my other endpoint is a negative infinity. Now infinities always get enclosed in a parenthesis, but looking at that 7, since x could be equal to 7 with that less than or equal to sign, I'm going to include it in a square bracket and that's my interval or that's my set in interval notation. Let's go ahead and graph this on the number line. So since x could be 7, that will be one of my end points here, and I'm going to graph it with a closed circle because x could be equal to it. Now x could also be anything that's less than 7 which I'm going to indicate with an arrow going all the way to negative infinity. And that's all for this one so let me know if you have any questions. Thanks for watching.