Tentukan himpunan penyelesaian dari A.lx-5l=2 B.lx+1l=lx-2l C.lx-2l=4

Mapel : Matematika
Kelas : X SMA
Materi : Persamaan Nilai Mutlak

Pembahasan :
|x - 5| = 2
(x - 5)² = 2²
(x - 5)² - 2² = 0
(x - 5 + 2)(x - 5 - 2) = 0
(x - 3)(x - 7) = 0
x = 3
x = 7

Hp : {3 , 7}

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|x + 1| = |x - 2|
(x + 1)² = (x - 2)²
(x + 1)² - (x - 2)² = 0
(x + 1 + x - 2)(x + 1 - x + 2) = 0
(2x - 1)(3) = 0
6x - 3 = 0
6x = 3
x = 3/6
x = 1/2

Hp : {1/2}

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|x - 2| = 4
(x - 2)² = 4²
(x - 2)² - 4² = 0
(x - 2 + 4)(x - 2 - 4) = 0
(x + 2)(x - 6) = 0
x = -2
x = 6

Hp : {-2 , 6}