Answer:
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.