Question

Tentukan himpunan penyelesaian persamaan nilai mutlak trsbt .

a). |x| + |x-5| =7

b). |2x-2| + |3x-8|=5

Answer 1

2x-2+3x-8 = 5
5x-10       = 5
5x            = 15
x              = 3
Hp : 3

Answer 2

X + (x-5) = 7
2x-5 = 7
2x = 7 + 5
2x = 12
x = 6

(2x-2) + (3x-8) = 5
5x - 10 = 5
5x = 5 +10
5x = 15
x = 3

bukti, a) x+(x-5)=7
           6+(6-5)=7
           7=7
          b) (2x-2) + (3x-8) = 5
             { 2(3)-2} + {3(3)-8} = 5
             4 + 1 = 5
             5 = 5