1. a) |2x-5|=|x+1| b) |x-3|<3 c) |x+4|>8 d) |x+3|<|x-2| Tentukan Hp?

a) |2x - 5| = |x + 1|
semua kuadratkan
(2x - 5)² = (x + 1)²
(2x - 5)² - (x + 1)² = 0
(2x - 5 + x + 1) (2x - 5 - x - 1) = 0
(3x - 4) (x - 6) = 0
x = 4/3 atau x = 6
{4/3, 6}

b) |x - 3| < 3
-3 < x - 3 < 3
-3 + 3 < x < 3 + 3
0 < x < 6

HP {0 < x < 6}

c) |x + 4| > 8
x + 4 > 8 atau x + 4 < -8
x > 8 - 4 atau x < -8 - 4
x > 4 atau x < -12
HP {x < -12 atau x > 4}

d) |x + 3| < |x - 2|
(x + 3)² < (x - 2)²
(x + 3)² - (x - 2)² < 0
(x + 3 - x + 2) (x + 3 + x - 2) < 0
(5) (2x + 1) < 0
5 (2 x + 1) = 0
x = -½
x < -½

HP {-½}