|3x -6| > |2x +1|
gunakan rumus :
a^2 - b^2 = (a+b) (a-b)
gunakan rumus :
a^2 - b^2 = (a+b) (a-b)
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Nilai Mutlak• Pertidaksamaan
|3x - 6| > |2x + 1|
|3x - 6|² > |2x + 1|²
(3x - 6)² > (2x + 1)²
(3x - 6)² - (2x + 1)² > 0
(3x - 6 + 2x + 1)(3x - 6 - 2x - 1) > 0
(5x - 5)(x - 7) > 0
Pembuat 0
5x - 5 = 0 , x = 1
x - 7 = 0 , x = 7
+++++ (1) ---- (7) +++++
Ambil daerah Positif
HP : {x | x < 1 atau x > 7 , x ∈ R}