Question

solve each inequality, graph its solution set and write the solution set in interval notation.
| x+7 | + 15> 12 . Do you get x> -10 and x< -34?

Answer 1

no i don't think so

Answer 2

you start with \(|x+7|+15>12\) subtract 15 from both sides to get \(|x+7|>-3\) and then think "absolute values is always greater than or equal to zero, so it is alway greater than -3" and the solution is therefore all real number \(\mathbb{R}\)

Answer 3

okay so -10<x<-1?

Answer 4

i guess i was not clear

Answer 5

it is always the case that \(|x+7|>-3\) so answer is all real numbers

Answer 6

any \(x\) you choose will work

Answer 7

oh okay