Tentukan nilai x yang memenuhi pertidaksamaan berikut.
a. |x-3|²>7|x-3|-6
b. 14+5|4x+2|<|5x+2|²
a. |x-3|²>7|x-3|-6
b. 14+5|4x+2|<|5x+2|²
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a. |x-3|² > 7|x-3| -6
= (x+3)² > 7(x+3) -6
= x² + 3x + 3x + 9 > 7x + 21 - 6
= x² +6x +9 > 7x + 15
= x² + 6x - 7x > 15 - 9
= x² - x > 6
b. 14 + 5 |4x + 2| < |5x + 2|²
= 14 + 5(4x +2) < (5x+2)²
= 14 + 20x +10 < 25x² + 10x + 10x +4
= 24 + 20x < 25x² +20x +4
= -25x² +20x - 20x < 4 -24
= -25x² < -20
maaf jika salah