tentukan pertidaksamaan nilai mutlak diatas beserta himpunan penyelesaiannya

1) |3x - 2| ≥ -4
(3x - 2)^2 ≥ (-4)^2
(3x - 2)^2 - (-4)^2 ≥ 0
(3x - 2 + (-4)) (3x - 2 - (-4)) ≥ 0
(3x - 6)(3x + 2) ≥ 0
x = 6/3 = 2 atau x = -2/3
Garis bilangan
+++ [-2/3] --- [2] ++++
x ≤ -2/3 atau x ≥ 2

2) |2x - 3| ≤ |x + 4|
(2x - 3)^2 ≤ (x + 4)^2
(2x - 3)^2 - (x + 4)^2 ≤ 0
(2x - 3 + x + 4) (2x - 3 - (x + 4)) ≤ 0
(3x + 1)(x - 7) ≤ 0
x = -1/3 atau x = 7
Garis bilangan
+++ [-1/3] --- [7] ++++
-1/3 ≤ x ≤ 7