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

You selected the correct {x | x < -4 or x > 2}

Step-by-step explanation:

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

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

> 0

Distribute 5 into

> 0

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

Factor the trinomial:

(x + 4) ( x - 2)  > 0

x < -4 or x > -2

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

Interval notation:  (-∞, -4) ∪ (2, ∞)

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