Question

|4x+4/7|<4

Answer 1

|4x+4/7|<4
case 1:
(4x+4/7)<4
4x<24/7
x<6/7
case 2:
-(4x+4/7)<4
-4x<32/7
x>-8/7

so, -8/7<x<6/7

Answer 2

To remove the absolute value, we need to rewrite the inequality for the positive and negative case. This becomes\[-4 \lt 4x + {4 \over 7} \lt 4\]Now we can solve like we usually do for inequalities. Subtract 4/7 everywhere, then divide through by 4.

Answer 3

i agree with dhashni. .