Question

Please help me solve this inequality problem.

|1-(4)/(3)x|<3

Answer 1

if this your problem
| 1 - 4x/3 | < 3

remove absolute value sign
1 - 4x/3 < 3 and
-1 + 4x/3 < 3

1 - 4x/3 < 3
-4x/3 < 2
-4x < 6
x > -6/4
x > -3/2

-1 + 4x/3 < 3
4x/3 < 4
4x < 12
x < 3

so solution is
-3/2 < x < 3