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Kuadratkan kedua ruas:
(2x + 2) + (6x - 8) - 2√(2x + 2)(6x - 8) ≥ 0
(8x - 6) ≥ 2√(12x² - 4x - 16)
Kuadratkan lagi
64x² - 96x + 36 ≥ 48x² - 16x - 64
16x² - 80x + 100 ≥ 0
4x² - 20 + 25 ≥ 0
(2x - 5)(2x - 5) ≥ 0
______ 5/2 ________
++++ +++++
syarat akar:
2x + 2 ≥ 0
x ≥ -1
6x - 8 ≥ 0
x ≥ 4/3
iriskan ketiganya:
HP: {x | 4/3 ≤ x ≤ 5/2}
√(2x + 2) ≥ √(6x - 8)
6x - 8 ≤ 2x + 2
6x - 2x ≤ 2 + 8
4x ≤ 10
x ≤ 10/4
HP { x I x ≤ 5/2 , x ∈ R}
Jawaban : C