Question
Choose an appropriate value of x that makes each inequality true.(x + 12)/8 < 2
A. 6
B. -4
C. 7
D. 8
A. 6
B. -4
C. 7
D. 8
Answers
GPT 3.5
To solve this inequality, we need to isolate x.
First, let's multiply both sides of the inequality by 8 to eliminate the fraction:
8 * [(x + 12)/8] < 2 * 8
Simplifying, we get:
x + 12 < 16
Now, let's subtract 12 from both sides of the inequality:
x + 12 - 12 < 16 - 12
Simplifying, we get:
x < 4
Therefore, we need to find a value of x that is less than 4.
Looking at the answer choices, the value of x that is less than 4 is -4.
So, the correct answer is B. -4.
First, let's multiply both sides of the inequality by 8 to eliminate the fraction:
8 * [(x + 12)/8] < 2 * 8
Simplifying, we get:
x + 12 < 16
Now, let's subtract 12 from both sides of the inequality:
x + 12 - 12 < 16 - 12
Simplifying, we get:
x < 4
Therefore, we need to find a value of x that is less than 4.
Looking at the answer choices, the value of x that is less than 4 is -4.
So, the correct answer is B. -4.