Question

Tolong jawab pliss yg D dan E aja...pakai cara....
JANGAN JAWAB NGASAL!!

Answer 1

Verified answer

D.
2 < |2 - x/2| ≤ 3
•
|2 - x/2| > 2
2 - x/2 > 2 atau 2 - x/2 < -2

2 - x/2 > 2
-x/2 > 2 - 2
-x/2 > 0
x < 0 ... (1)

2 - x/2 < -2
-x/2 < -2 - 2
-x/2 < -4
x > 8 ... (2)

•
|2 - x/2| ≤ 3
-3 ≤ 2 - x/2 ≤ 3
-3 - 2 ≤ -x/2 ≤ 3 - 2
-5 ≤ -x/2 ≤ 1 ... Kalikan (-2)
-2 ≤ x ≤ 10 ... (3)

Nilai x yg memenuhi :
Irisan (1) (2) dan (3) :
-2 ≤ x < 0 atau 8 < x ≤ 10

e.
|x + 5| ≤ |1 - 9x|
(x + 5)² - (1 - 9x)² ≤ 0
➡ a² - b² = (a + b)(a - b)
(-8x + 6)(10x + 4) ≤ 0
x = 6/8 = 3/4 ; x = -4/10 = -2/5

Nilai x yg memenuhi :
x < -2/5 atau x > 3/4