What is the solution of |2x-5|< 21

-8 < x < 13

Step-by-step explanation:

|2x-5|<21

The absolute value has 2 solutions, one positive and one negative.  When we take the negative solution, we have to flip the inequality.

2x-5 < 21      and      2x-5 > -21

Add 5 to each side

2x-5+5 < 21 +5            2x-5 +5 > -21+5

2x < 26                             2x > -16

Divide by 2

2x/2 <26/2                         2x>-16/2

x <13                   and                      x>-8

-8 < x < 13

i think is g(1)=-1.

hope that i can