Solve the Problem $x + y < 500$ $x \geq 2 y$

Multiple Choice

Solve the problem.
-A college theater reserves x tickets for students and y tickets for general admission. Total number of seats available is at most 500. The college reserves a least 2 times as many student tickets as general Admission tickets. The number of student tickets cannot be negative. The number of general
Admission tickets cannot be negative. Write a system of inequalities to represent the described Scenario and graph the solution set.

A) $x + y < 500$
$x \geq 2 y$
$x \geq 0$
$y \geq 0$


B) $x + y \leq 500$
$y \geq 2 x$
$x \geq 0$
$y \geq 0$


C) $x + y \leq 500$
$x \geq 2 y$
$x \geq 0$
$y \geq 0$


D) $x + y < 500$
$y \geq 2 x$
$x \geq 0$
$y \geq 0$