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42 votes
42 votes
Solve the inequality
(x+5)(x-1)^2(x-3)<0

User Djeidot
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1 Answer

23 votes
23 votes

Answer:

-5 < x < 1 or 1 < x < 3

Explanation:

First, you must solve the inequality. Using PEMDAS, you work from left to right save for the problem in the parentheses that has an inequality. Then you get x^4 − 18^2 + 32x − 15 < 0. Then, you factor the left side of the equation. you should put the factors equal to 0.

x − 1 = 0

x − 1 = 0

x − 3 = 0

x + 5 = 0

You find the x value and plug it into the original inequality. And, you should be able to find the numbers that work when inputted in the inequality.

User Chetan Ankola
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3.6k points