Question

Match each inequality to the number line that represents its solution

Answer 1

We have to establish a feature that gives us the first answer. When going with a number line and plotting with a ≤ or ≥ symbol, the point will be closed or black and when going with a < or > symbol, the point will be opened or white. So we can safely say that 75 < 69-x is the 3rd one. So now when solving an inequality, you just have to move the number on the side of X to the other one and to do that, we have to do the opposite value that it has. (ex. 130+x > 50= x > -80, we subtracted) So we apply that to every inequality and find where we need to put them in. That gives us the answers of 150 + x ≤ 144 is the 4th one, x-51 ≤ -43 is the 1st one, and x-99 ≤ -104 is the 2nd one.

Answer 2

the first one that is x-99....... goes to the second answer box

the second that is x-51......... goes to the first answer box

the third that is 150+x......... goes to the fourth answer box

the fourth that is 69-x......... goes to the third answer box