# Math Help - Inequality

1. ## Inequality

Solve $-\frac{1}{m}<\frac{1}{2}$ given that $m<0$

2. ## Re: Inequality

1/m>-1/2, So, m<-2 is the soln.

3. ## Re: Inequality

Originally Posted by jishnuray
1/m>-1/2, So, m<-2 is the soln.
1/m>-1/2
2>-m
m>-2

shouldnt it be m>-2

4. ## Re: Inequality

If it is m>-2. take m=-1 and see that the original equation then gives 1<1/2 which is vacuosly not true.

5. ## Re: Inequality

Originally Posted by Punch
1/m>-1/2
2>-m
You have multiplied each side of the inequality by 2m. Since you are told that m is negative this will reverse the direction of the inequality: 2< -m.

m>-2

shouldnt it be m>-2