Question

How would I graph and solve this inequality?? Help please! Press question to view image.

Answer 1

Well, x has to be anything from 5 or below, as it has to be subtracted by three and the answer has to be less than 4. so, x=y<5 (first one)

negative 3 times a number = less than negative 12. so, the higher the number, but negative, is less than. (example:-52<-3) so, |x| is x=4>y
sorry if unclear...

Answer 2

Check the picture below.

$\bf |x|-3\le 4\implies |x|\le 7\implies \boxed{-7\le x\le 7} \\\\\\ -3|x|\ \textless \ -12\implies |x|\ \textgreater \ \cfrac{-12}{-3}\implies |x|\ \textgreater \ 4\implies \boxed{4\ \textless \ x\ \textless \ -4}$