Question

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

Answer 1

Answer:

C

Step-by-step explanation:

Answer 2

Answer:

C.

Step-by-step 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.