Question

Solve 3r+2(4r+2)≤2(6r+1).

Write your solution in set-builder notation.

Answer 1

To solve the inequality, we can begin by simplifying the left-hand side and the right-hand side:

3r + 2(4r+2) ≤ 2(6r+1)

3r + 8r + 4 ≤ 12r + 2

11r + 4 ≤ 12r + 2

r ≤ -2

So the solution to the inequality is r ≤ -2. We can write this in set-builder notation as:

r