A) \[\left( -\infty ,-\frac{3}{2} \right)\cup \left( \frac{9}{2},\infty \right)\]
B) \[(-\infty ,0)\cup \left( \frac{9}{2},\infty \right)\]
C) \[\left( -\frac{3}{2},0 \right)\]
D) \[\left( 0,\frac{9}{2} \right)\]
E) \[\left( -\frac{3}{2},\frac{9}{2} \right)\]
Correct Answer: E
Solution :
Given, \[\frac{2x+3}{2x-9}<0\] \[\Rightarrow \]\[2x+3<0\]and\[2y-9>0\] or\[2x+3>0\]and\[2x-9<0\]and\[x\ne \frac{9}{2}\] \[\Rightarrow \]\[x<-\frac{3}{2}\]and\[x>\frac{9}{2}\]or\[x>-\frac{3}{2}\]and\[x<\frac{9}{2}\]and\[x\ne \frac{9}{2}\] \[\Rightarrow \]\[\left( -\frac{3}{2},\frac{9}{2} \right)\]
You need to login to perform this action.
You will be redirected in
3 sec
