1. The problem statement, all variables and given/known data Solve the following. Express answers in set notation. -2(x-2)(x-4)(x+3)<0 2. Relevant equations 3. The attempt at a solution I know my four intervals are x<-3 , -3<x<2 , 2<x<4 , x>4. I thought the answer would be x<-3 and 2<x<4 however the answers are opposite of what I thought, they are -3<x<2 and x>4. I am having trouble understanding why this is. Would it be because there is a -2 that needs to leave so it is divided under both sides thus meaning instead of it being "less than zero" the sign changes and it becomes "greater than zero"? Would that be correct? Thanks just need claification.