Polynomial Inequalities Practice

Question

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

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

Answer 1

I. Both factors are positive

x - 5 > 0, x > 5

x + 2 > 0, x > -2

x > 5

II.Both factors are negative

x - 5 < 0, x < 5

x + 2 < 0, x < -2

x < -2