​ Solve, 0 <-x/3 < 1, x ∈ R. ​

Question

Solve, 0 < \(\frac{-x}{3}\) < 1, x ∈ R.

Answer 1

We have, 

0 < \(\frac{-x}{3}\)< 1,

Multiplying inequality by 3, we get

0 < −x < 3

or 0 > x > 3

or −3 < x > 0 

⇒ x ∈ (−3,0)