Polynomials Inequalities Practice

Question

Solve following polynomials inequality. Show number line test and state answer in interval notation.

(step by step)

2) (x-5) (x+2) > 0

Answer 1

For the product to be positive, > 0, both factors must be positive or both factors are negarive

For x - 5 > 0, x > 5 and x + 2 > 0, x > -2. Therefore x > 5

For x - 5 < 0 , x < 5 and x + 2 < 0, x < -2. Therefore x < -2

Can you put this into inerval notation and answer?