Question

Find the solution set of 13 ≤ c - 4.
a) c ≤ 9
b) c ≤ 17
c) c ≥ 17
d) c ≥ 9

Answer 1

The solution set of the inequality '13 ≤ c - 4' is found by adding 4 to both sides, resulting in the inequality '17 ≤ c'. Hence, the correct solution is 'c ≥ 17' (option c).

Step-by-step explanation:

To find the solution set of the inequality 13 ≤ c - 4, we need to isolate the variable c on one side of the inequality. This is accomplished by performing the same operation on both sides of the inequality. Adding 4 to both sides, we get:

13 + 4 ≤ c - 4 + 4

Which simplifies to:

17 ≤ c

This means the variable c must be greater than or equal to 17. Therefore, the correct solution set for the inequality is:

c ≥ 17

Matching this to the provided answer choices, the correct one is:

(c) c ≥ 17