Question

What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}?

3r ≤ 4r – 6

Answer 1

{6,7,8,9,10}

Explanation:

Solve the inequality using inverse operations.

`3r\leq 4r-6\\3r-4r\leq -6\\-r\leq -6\\r\geq 6`

This solution means values equal to or larger than 6 from the set are solutions. This means 6, 7, 8, 9, and 10 are the solution set.