A Distributor Wholesales Desk Chairs for $200 and Side Chairs $\left\{ \begin{array} { c } 200 x + 100 y < 1,200 \\y \geq x\end{array} \right.$

A distributor wholesales desk chairs for $200 and side chairs for $100. Best Furniture wants to order no more than $1,200 worth of chairs and wants to order more side chairs than desk chairs. Find a system of inequalities whose graph will show the possible combination of desk chairs ( x ) and side chairs ( y ) that can be ordered, graph the system of inequalities, and determine whether the ordered pairs satisfy the inequality.

A) $\left\{ \begin{array} { c } 200 x + 100 y < 1,200 \\y \geq x\end{array} \right.$ $( 0,10 ) , ( 4,3 )$
B) $\left\{ \begin{array} { c } 200 x + 100 y \leq 1,200 \\y > x\end{array} \right.$ $( 0,10 ) , ( 0,11 )$
C) $\left\{ \begin{array} { c } 200 x + 100 y \leq 1,200 \\y < x\end{array} \right.$ $( 3,3 ) , ( 4,0 )$
D) $\left\{ \begin{array} { c } 200 x + 100 y \leq 1,200 \\y > x\end{array} \right.$ $( 0,3 ) , ( 11,0 )$
E) $\left\{ \begin{array} { c } 200 x + 100 y \geq 1,200 \\y > x\end{array} \right.$ $( 4,3 ) , ( 0,10 )$