Question

What is the solution for the inequality |-5x+2|<7

Answer 1

|-5x + 2| < 7
|-5x + 2| < ±7
|-5x + 2| < 7 or |-5x + 2| < -7
-5x + 2 < 7 or -5x + 2 < -7
- 2 - 2 - 2 - 2
-5x < 5 or -5x < -9
-5 -5 -5 - 5
x < -1 or x < 1⁴/₅

Answer 2

i'm just gonna try my best.
it will be -5x+2=7
let's ignore the less than sign, so it will be -5x=7-2
; -5x=5
; x=-1
If the question asks you to graph it, you will graph -1 less than 7 or -1∠7
i'm sorry that i cant find the less than sign