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

✓

Answer

$(−6, 0)$

Solution

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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