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Solve the inequality. (x-3)(x-4)/(x-5)(x+6)^2>0

Solve the inequality. (x-3)(x-4)/(x-5)(x+6)^2>0-example-1
User Tedesha
by
4.5k points

2 Answers

1 vote

Answer:

C.

Explanation:

Consider the numerator;

When (x - 3)(x - 4) = 0

x = 3 or x = 4.

When x > 3 and < 4 (x - 3)(x- 4) will be negative and the denominator (x - 5(x + 6)^2 will be negative so the function will be positive.

So 3 < x < 4 is a part of the answer.

When x > 5 the denominator will be positive and so will be the numerator.

So x > 5 also is a solution.

When x < 3 the numerator will be positive and the denominator will be negative so the function will be negative.

User Thomas Schneiter
by
5.1k points
3 votes

Answer:

C

Explanation:

User Danze
by
5.3k points