Question

What is the solution of 4|x – 9| + 6 > 42?

0 < x < 18
x < 0 or x > 18
–18 < x < 9
x < –18 or x > 0

Answer 1

Answer: B. x < 0 or x > 18

Explanation:

Answer 2

Choice B is correct answer.

Explanation:

We have given an inequality.

4|x – 9| + 6 > 42

We have to find the solution of given inequality.

Adding -6 to both sides of above inequality, we have

4|x – 9| + 6 -6 > 42-6

4|x – 9| + 0 > 36

4|x – 9| > 36

Dividing above inequality by 4 , we have

4|x – 9| > 36

(4|x – 9|) / 4 > 36 / 4

|x – 9| > 9

Applying absolute value property, we have

-9 > x-9 > 9

Adding 9 to both sides of above equation, we have

-9+9 > x-9+9 > 9+9

0 > x > 18

Hence, we can write above inequality as:

x < 0 or x > 18 which is the answer.