Quadratic Inequalities?

Question

Use interval notation to list the values of x that satisfy the inequality

(x + 13)(x - 19) greater than or equal to 0.

I have to answer it in this format (?,?) U (?,?) there are brackets in here

Answer 1

Greetings,

(x + 13)(x - 19) ≥ 0

----o++++ (x + 13)

---------o++ (x - 19)

...-13..19

The product is positive where both factors are positive or both are negative

x < -13 or x > 19

(-inf, -13) U (19, inf)

Regards