Question

Solve the inequality. write your answer using interval notation. x(x − 3)(x + 4) > 0

Answer 1

Sorry But I can't understand what − means so i will solve this for x+3 and x-3 
first for x+3
 equation e= x(x+3)(x+4)>0
 so points are x= 0,-3,-4
 for range x<-4
 e<0
 for -4<x<-3
 e>0
 for -3<x<0
 e<0
 and for x>0
 e>0
 so the interval when e>0
 x â (-4<x<-3 and x>0)
 
 now for x-3
 equation e=x(x-3)(x+4)>0
 so points are x= 0,3,-4
 for range x<-4
 e<0
 for -4<x<0
 e>0
 for 0<x<3
 e<0
 and for x>3
 e>0
 so the interval when e>0
 x â (-4<x<0 and x>3)