Question

What value of x is in the solution set of the inequality 4−12≤16<84x−12≤16<8x?

a. x≤−2
b. x≤2
c. x≥2
d. ≥−2

Answer 1

To find the value of x in the solution set of the inequality 4−12≤16<84x−12≤16<8x, we need to solve the inequality by simplifying it. The solution set of the inequality is x values greater than or equal to -8 and less than 2.

Step-by-step explanation:

To find the value of x in the solution set of the inequality 4−12≤16<84x−12≤16<8x, we need to solve the inequality by simplifying it.

First, let's simplify the left side of the inequality:

4 - 12 = -8

Now, let's simplify the right side:

16 < 8x

Divide both sides of the inequality by 8:

2 < x

So the inequality is:

-8 <= x < 2

Therefore, the solution set of the inequality is x values greater than or equal to -8 and less than 2.