Find the solution set for the given inequality if the replacement set is {1, 2, 3, 4, 5}.
5x – 2 ≥ 8
To solve the inequality 5x - 2 ≥ 8, we can start by adding 2 to both sides of the inequality:
5x - 2 + 2 ≥ 8 + 2
5x ≥ 10
Next, we divide both sides of the inequality by 5 to isolate x:
(5x) / 5 ≥ 10 / 5
x ≥ 2
Therefore, x must be greater than or equal to 2 in order for the inequality to be true.
Since the replacement set is {1, 2, 3, 4, 5}, the solution set is {2, 3, 4, 5} (since 1 is not greater than or equal to 2).