Solve $\displaystyle -\frac{1}{m}<\frac{1}{2}$ given that $\displaystyle m<0$
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1/m>-1/2, So, m<-2 is the soln.
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
If it is m>-2. take m=-1 and see that the original equation then gives 1<1/2 which is vacuosly not true.
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
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