What is the solution to the inequality
\((x-2)(x+1)(x-3)>0\)
- \(x<-1 \ \cup \ 2<x<3\)
- \(-1<x<2 \ \cup \ x>3\)
- \(x<-1 \ \cup \ x>3\)
- \(-1<x<3\)
Show Worked Solution
\(\text {Zeros at}\ \ x=2, x=-1 \ \ \text {and} \ \ x=3\)
\(\text{At} \ \ x=0: \ (-2)(1)(-3)>0\)
\(\therefore \text {Graph}\ >0 \ \ \text{for}\ \ -1<x<2 \ \cup \ x>3\)
\(\Rightarrow B\)