What is the solution set for 0<− x 2 < 3 - Vidyadip

MCQ

What is the solution set for $0<−\frac{\text{x}}{2} < 3$

A
$(−6, 6)$
✓
$(−6, 0)$
C
$(0, 6)$
D
$(-\infty, -6)$

✓

Answer

Correct option: B.

$(−6, 0)$

Given: $0<−\frac{\text{x}}{2} < 3$
Multiply by $2$ in above inequality $($Here $2$ is a positive number so the direction of the inequality does not change$)$
$\Rightarrow0 <-\text{x}<6$
$\Rightarrow−6 <\text{x}<0$
$\therefore\text{x}$ lies in $(−6, 0)$

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