Question

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


`5r \leq 6r-8`

A. {5, 6, 7}
B. {8, 9, 10}
C. {5, 6, 7, 8}
D. {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!