|6x - 1| - 7 ≤ 4x
|6x - 1| ≤ 4x + 7
1) 6x - 1 ≤ 4x + 7
6x - 4x ≤ 7 + 1
2x ≤ 8
x ≤ 4
2) 6 - 4x ≥ - ( 4x + 7)
6 - 4x ≥ - 4x - 7
- 4x + 4x ≥ - 7 - 6
0x ≥ - 13
3) 4x + 7 ≥ 0
4x ≥ - 7
x ≥ - 1,75
ответ : x ∈ [- 1,75 ; 4]
|6x - 1| - 7 ≤ 4x
|6x - 1| ≤ 4x + 7
1) 6x - 1 ≤ 4x + 7
6x - 4x ≤ 7 + 1
2x ≤ 8
x ≤ 4
2) 6 - 4x ≥ - ( 4x + 7)
6 - 4x ≥ - 4x - 7
- 4x + 4x ≥ - 7 - 6
0x ≥ - 13
3) 4x + 7 ≥ 0
4x ≥ - 7
x ≥ - 1,75
ответ : x ∈ [- 1,75 ; 4]