Find the solution set for the given inequality if the replacement set is {3, 4, 5, 6, 7}.

Question

4x – 1 ≥ 19

Answer 1

First, we can solve the inequality:

4x - 1 ≥ 19

Adding 1 to both sides:

4x ≥ 20

Dividing both sides by 4:

x ≥ 5

Now, we can compare this solution to the replacement set {3, 4, 5, 6, 7}:

The numbers greater than or equal to 5 in the replacement set are {5, 6, 7}.

Therefore, the solution set for the inequality if the replacement set is {3, 4, 5, 6, 7} is {5, 6, 7}.