Question

What is the solution set to the inequality 5(x - 2)(x + 4) > 0?

Answer 1

B

Explanation:

x

100% correct on edge 2021

Answer 2

You selected the correct answer: x

Explanation:

5(x - 2)(x + 4) > 0

Use FOIL method to expand (x - 2)(x + 4):

`5(x^(2) + 2x - 8)` > 0

Distribute 5 into
`(x^(2) + 2x - 8)`

`5x^(2) + 10x - 40` > 0

Divide all terms by 5 from both sides of the inequality:

`(5x^(2))/(5) + (10x)/(5) - (40)/(5) > (0)/(5)`

`x^(2) + 2x - 8 > 0`

Factor the trinomial:

(x + 4) ( x - 2) > 0

x < -4 or x > -2

Therefore, the solution set to the inequality is x < -4 or x > 2

Interval notation: (-∞, -4) ∪ (2, ∞)