Question

What is the solution to the inequality 4 - c/2 ≤ 14?

a. c ≤ -20
b. c ≥ -20
c. c ≤ 20
d. c ≥ 20

Answer 1

To solve the inequality 4 - c/2 ≤ 14, subtract 4 from both sides and then multiply by -2 to isolate the variable c. The solution is c ≥ -20.

Step-by-step explanation:

To solve the inequality 4 - c/2 ≤ 14, we start by subtracting 4 from both sides to isolate the variable:

4 - c/2 - 4 ≤ 14 - 4

-c/2 ≤ 10

Next, multiply both sides of the inequality by -2 to get rid of the fraction:

-2(-c/2) ≤ -2(10)

c ≥ -20

Therefore, the solution to the inequality is c ≥ -20.