Question

Tentukan Penyelesaian dari :
a. |x + 5| ≤ |1 – 9x|
b. |3x-8| = 5

Answer 1

A. |x + 5| ≤ |1 - 9x|
= (f(x) + g(x)) (f(x) - g(x))
= (x + 5 + 1 - 9x) (x + 5 - 1 + 9x)
= (-8x + 6) (10x + 4)
-8x = -6
x = 3/4
atau
10x = -4
x = -4/10
x = -2/5
HP = {x | x = 3/4 V x = -2/5, x elemen bilangan R}

b. |3x - 8| = 5
3x - 8 = 5
3x = 5 + 8
3x = 13
x = 13/3
Atau
3x - 8 = -5
3x = 3
x = 1
HP = {x | x = 13/3 V x = 1, x elemen bilangan R}