tuliskan himpunan penyelesaiannya |x| + |x+3| = 5

Nilai Mutlak


|x| + |x + 3| = 5
Punya 4 arti :

x + (x + 3) = 5
x - (x + 3) = 5
-x + (x + 3) = 5
-x - (x + 3) = 5

Selesaikan satu satu

( 1 )
x + (x + 3) = 5
2x = 5-3
2x = 2
x = 1

(2)
x - (x + 3) = 5
-3 = 5
tidak ada

(3)
-x + (x +3) = 5
3 = 5
tdk ad

(4)

-x - (x +3) = 5
-2x - 3 = 5
-2x = 5+3
-2x = 8
x = -4


Maka x = 1 atau x = -4