Question

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

Answer 1

Hi there! The answer is B.

$5r \leqslant 6r - 8$
Subtract 6r from both sides.

$- r \leqslant - 8$
Divide both sides of the inequality by -1. Remember that dividing by a negative makes the sign flip.

$r \geqslant 8$
Therefore, the solution must be bigger than or equal to 8. From the given solution set, the answer is B. {8, 9, 10}

~ Hope this helps you!