|1-2x |≤5;|4+3x|≥2;|4x+3|≥5

Question

|1-2x |≤5;|4+3x|≥2;|4x+3|≥5

Answer 1

|1-2х|≤5
-5≤1-2х≤5
-6≤-2х≤4
-3≤-х≤2
3≥х≥-2
-2≤х≤3
х€[-2;3]

|4+3х|≥2
-2≥4+3х≥2
-6≥3х≥-2
-2≥х≥-2/3
х€(-∞;-2] [-2/3;+∞)

|4х+3|≥5
-5≥4х+3≥5
-8≥4х≥2
-2≥х≥1/2
х€(-∞;-2] [0,5;+∞)