1. |1-x| < 3/2 2. 2+|3+x| < 5 3. |2-x| < 2 Tolong ya dijawab lengkap dg caranya:) terima kasih<3

Mapel : Matematika
Kelas : VII SMP
Bab : Aljabar

Pembahasan :
|1 - x| < 3/2
(1 - x)² < (3/2)²
(1 - x)² - (3/2)² < 0
(1 - x + 3/2)(1 - x - 3/2) < 0
(5/2 - x)(-1/2 - x) < 0
-1/2 < x < 5/2

Hp : {-1/2 < x < 5/2}

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2 + |3 + x| < 5
|3 + x| < 3
(3 + x)² < 3²
(3 + x)² - 3² < 0
(6 + x)(x) < 0
-6 < x < 0

Hp : {-6 < x < 0}

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|2 - x| < 2
(2 - x)² < 2²
(2 - x)² - 2² < 0
(4 - x)(-x) < 0
x² - 4x < 0
x(x - 4) < 0
0 < x < 4

Hp : {0 < x < 4}