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

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

|-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

Option ait states the correct answer

Lol idk ask google. ejie