Question

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

• A. $(-\infty ,-6)$
• B. $(6,\infty )$
• C. $(-6,0)$
• D. $(-6,6)$

Answer 1

Answer: (C)

$(-6,0)$

$0$ < $\frac{-x}{2}<3$.... (1)

Multiply this by $-2$

$\Rightarrow$ $0>x>-6$

The sign of identity will change because we are multiplying by a negative number

Therefore $xϵ(-6,0)$

Hence, option C is correct.