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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
What is the solution set to the inequality 5(x - 2)(x + 4) > 0?
Solution:
The given inequality is
5(x - 2)(x + 4) > 0
Divide both sides by 5
(x - 2) (x + 4) > 0
Let us consider
x - 2 = 0 and x + 4 = 0
x = 2 and x = -4
Let us make use of each root to create the test interval
x < -4
- 4 < x < 2
x > 2
Here
x < -4 is true
- 4 < x < 2 is false
x > 2 is true
The solution contains all true intervals
x < -4 or x > 2
i.e. (- ∞, -4) U (2, ∞)
Therefore, the solution set to the inequality is (- ∞, -4) U (2, ∞).
What is the solution set to the inequality 5(x - 2)(x + 4) > 0?
Summary:
The solution set to the inequality 5(x - 2)(x + 4) > 0 is (- ∞, -4) U (2, ∞).
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