Question

Tolong dengan caranya ya

Answer 1

Verified answer

No.9
2 - 3(1 - 2x) = 5 - 2(2x + 3)
2 - 3 + 6x = 5 - 4x - 6
-1 + 6x = -1 - 4x
6x = -4x
10x = 0
x = 0
HP = {0}

No. 10
2(x - 2) ≤ 4(x + 6)
2x - 4 ≤ 4x + 24
4x - 2x + 24 + 4 ≥ 0
2x ≥ -28
x ≥ -14

No. 11
|2x - 4| = 4
(i)
2x - 4 = 4
2x = 8
x = 4
(ii)
2x - 4 = -4
2x = 0
x = 0
nilai x yang memenuhi adalah
x = 0   atau x = 4

No.12
|y + 1| = 2y - 3
(i)
y + 1 = 2y - 3
-y = -4
y = 4
(ii)
-y - 1 = 2y - 3
3y = 2
y = 2/3

nilai y yang memenuhi adalah y = 2/3  atau  y = 4

No. 13
|x + 1| < 3
-3 < x + 1 < 3
-4 < x < 2  (A)

No.14
|5x - 7| ≥ 3
(i)
5x - 7 ≥ 3
5x ≥ 10
x ≥ 2
(ii)
5x - 7 ≤ -3
5x ≤ 4
x ≤ 4/5
HP = {x| x ≤ 4/5 atau  x ≥ 2}

No. 15
|4x - 5| < |2x + 7|
(4x - 5)² < (2x + 7)²
16x² - 40x + 25 < 4x² + 28x + 49
12x² - 68x - 24 < 0
3x² - 17x - 6 < 0
(3x + 1)(x - 6) < 0
-1/3 < x < 6