The solution of the 15< 3(x – 2) 5 <0 is: - Vidyadip

MCQ

The solution of the $15<\frac{3(\text{x} – 2)}{5}<0$ is:

✓
$27 < x < 2$
B
$27 < x < -2$
C
$-27 < x < 2$
D
$27 < x < -2$

✓

Answer

Correct option: A.

$27 < x < 2$

Given inequality is:
$15<\frac{3(\text{x} – 2)}{5}<0$
$\Rightarrow15\times5<3(\text{x} – 2)<0 × 5$
$\Rightarrow75<3(\text{x} – 2)<0$
$\Rightarrow\frac{75}{3}<\text{x} – 2<0$
$\Rightarrow25<\text{x}-2<0$
$\Rightarrow25 + 2 <\text{x}<0 + 2$
$\Rightarrow27 < x < 2$

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