Penyelesaian dari soal |6-x|=2 an |x-2|+|x+4|=7

Bab Nilai Mutlak
Matematika SMA Kelas X

nomor 1
|6 - x| = 2

(6 - x)² = 2²
(6 - x)² - 2² = 0
(6 - x + 2) (6 - x - 2) = 0
(8 - x) (4 - x) = 0
8 - x = 0     atau     4 - x = 0
8 = x                      4 = x
x = 8                      x = 4

HP = { 4, 8 }

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nomor 2
|x - 2| + |x + 4| = 7

x - 2 + x + 4 = 7
2x = 7 - 2
x = 5/2

x - 2 + x + 4 = - 7
2x = -7 - 2
x = -9/2

HP = { -9/2, 5/2 }