(x+3) (x-2) / (x+2) (x-1) > or equal to 0

Question

Pls answer. thankyou so much

Answer 1

Key points: x=-3, 2, -2, 1. Arrange on number line: -3, -2, 1, 2. Disallowed values: -2 and 1 because they would cause division by zero. Consider intervals:

x≤-3 satisfies inequality

-3<x<-2 fails inequality

-2<x<1 satisfies

1<x<2 fails

x≥2 satisfies