Nilai x yang memenuhi |x-4| = |x| -4 adalah A. x = 4 B. x = -4 C. x = 4 atau x= -4 D. x ≤ 4 E. x >_ 4

|x - 4| = |x| - 4
|x - 4| - |x| = -4
x - 4 - x = -4, x - 4 ≥ 0, x ≥ 0
- (x - 4) - x = -4, x - 4 < 0, x ≥ 0
x - 4 - (-x) = -4, x - 4 ≥ 0, x < 0
- (x - 4) - (-x) = -4, x - 4 < 0, x < 0

x ∈ R, x ≥ 4, x ≥ 0
x = 4, x < 4, x ≥ 0
x = 0, x ≥ 4, x < 0
x ∈ Ø, x < 4, x < 0

x ∈ R, x ∈ [4, + ∞)
x = 4, x ∈ [0, 4)
x = 0, x ∈ Ø
x ∈ Ø, x ∈ (-∞, 0)

x ∈ [4, + ∞)
x ∈ Ø
x ∈ Ø
x ∈ Ø

x ∈ [4, + ∞)

Jawaban A. x = 4