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

What is the solution set to the inequality 5(x - 2)(x + 4) > 0?-example-1
User Jlevy
by
9.0k points

2 Answers

6 votes

Answer:

B

Explanation:

x

100% correct on edge 2021

User Prathik Kini
by
8.6k points
5 votes

Answer:

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, ∞)

User Benoit Larochelle
by
8.8k points

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