a. ∣4x−2∣≤∣x+5∣ b. ∣3x+1∣−∣2x+4∣>10

a) (4x-2)² ≤ (x+5)²
16x² - 16x + 4 ≤ x² + 10x + 25
16x² - x² - 16x - 10x + 4 - 25 ≤ 0
15x² - 26x - 21 ≤ 0
(3x - 7)(5x + 3) ≤ 0
-3/5 ≤ x ≤ 7/3

b) |3x+1|
x ≥ ⅓ jika 3x + 1
x < -⅓ jika -3x-1
|2x-4|
x ≥ 2 jika 2x - 4
x < 2 jika -2x + 4
•) x < -⅓
-3x - 1 - (-2x + 4) > 10
-x - 5 > 10
-x > 10+5
-x > 15
x < -15
•) -⅓ ≤ x < 2
3x + 1 - (-2x + 4) > 10
5x -3 > 10
5x > 10+3
5x > 13
x > 13/5 (tidak memenuhi)
•) x ≥ 2
3x + 1 - (2x - 4) > 10
x + 5 > 10
x > 10 - 5
x > 5
maka hp
x < -15 atau x > 5