Question

Solve the inequality 8x−4 ≥ 12. Drag your answer into the answer slot below.

a. x≤−2 or x≥2
b. x≤−1 or x≥1
c. x≤−4 or x≥3
d. x≤−3 or x≥4

Answer 1

To solve the inequality 8x-4 ≥ 12, we add 4 to both sides and then divide by 8, resulting in x ≥ 2. Hence, the answer is d. x≥2.

Step-by-step explanation:

To solve the inequality 8x−4 ≥ 12, you will need to perform some algebraic operations. First, we add 4 to both sides of the inequality to isolate the term with the variable:

8x ≥ 12 + 4

8x ≥ 16

Next, we need to divide both sides of the inequality by 8 to solve for x:

x ≥ 16 / 8

x ≥ 2

This means the solution to the inequality is any number greater than or equal to 2. Therefore, the correct answer is:

d. x≥2