Use Mathematical Models Involving Linear Inequalities
-Benjamin Never Has More $x$

Use Mathematical Models Involving Linear Inequalities
-Benjamin never has more than 23 hours free during the week. He is trying to make a weekly plan for dividing his free time between reading and working out. He wants to spend at least 8 hours per week reading. Write a system of inequalities to describe the situation. Let $x$ represent the number of hours for reading and $y$ represent the number of hours for working out.

A) $x + y \leq 23$
$x \geq 8$
$y \geq 0$
B) $x + y \leq 23$
$x \geq 8 y$
$x \geq 0$
$y \geq 0$

C) $x + y \leq 23$
$y \geq 8$
$x \geq 0$
D) $x + y \leq 23$
$x \leq 8 y$
$x \geq 0$
$y \geq 0$