himpunan penyelesaian dari | x + 1 | + | 1 - x |=2
Matematika
husna129
Pertanyaan
himpunan penyelesaian dari | x + 1 | + | 1 - x |=2
1 Jawaban
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1. Jawaban calypsophobos
1. |x + 1| + |1-x| = 2
x + 1 + 1 - x = 2
x + 2 - x = 2
x - x = 2 - 2
0 = 0
(tidak mutlak)
2. -|x + 1| + |1-x| = 2
-x - 1 + 1 - x = 2
-2x = 2
x = -1
3. |x + 1| + (-|1-x|) = 2
x + 1 - 1 + x = 2
2x = 2
x = 1
4. |x + 1| + |1-x| = 2
x + 1 + 1 - x = 2
x + 2 - x = 2
x - x = 2 - 2
0 = 0
(tidak mutlak)
Hp :
1. -
2. {x = -1}
3. {x = 1}
4. -