Question

3 (  2 | 2x - 5| - 7) -19 < 14

Answer 1

3( 2|2x-5| -7) < 14+19

3 * (2* |2x-5| -7) < 33

2* |2x-5|-7 < 11

2* |2x-5| < 11+7

2* |2x-5| <18

|2x-5| < 9

-9 < |2x-5 | < 9

-9 < 2x-5 <9 |5

-4 < 2x < 14 |:2

-2 < x < 7  ⇒ x∈(-2;7)

Answer 2

3(2|x-5| - 7) <14+19
3(2|x-5| - 7) <33
(2|x-5| - 7) <33:3
(2|x-5| - 7) <11
2|x-5|  <18
|x-5|<9
-9 < |2x-5 | < 9
-9 < 2x-5 <9
-4 < 2x < 14
-2 < x < 7 
x aprtine (-2, 7)