allendaniel277 allendaniel277

Today at 8:37 AM
Mathematics

Answered

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

[tex]5r \leq 6r-8[/tex]

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

Answer :

Today at 8:42 AM

Hi there! The answer is B.

[tex]5r \leqslant 6r - 8[/tex]
Subtract 6r from both sides.

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

[tex]r \geqslant 8[/tex]
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!

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