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.

$A distributor wholesales desk chairs for $200 and side chairs for $100. Best Furniture wants to order no more than $1,200 worth of chairs and wants to order more side chairs than desk chairs. Find a system of inequalities whose graph will show the possible combination of desk chairs ( x )and side chairs ( y )that can be ordered, graph the system of inequalities, and determine whether the ordered pairs satisfy the inequality. A) \left\{ \begin{array} { c } 200 x + 100 y < 1,200 \\ y \geq x \end{array} \right. ( 0,10 ) , ( 4,3 ) B) \left\{ \begin{array} { c } 200 x + 100 y \leq 1,200 \\ y > x \end{array} \right. ( 0,10 ) , ( 0,11 ) C) \left\{ \begin{array} { c } 200 x + 100 y \leq 1,200 \\ y < x \end{array} \right. ( 3,3 ) , ( 4,0 ) D) \left\{ \begin{array} { c } 200 x + 100 y \leq 1,200 \\ y > x \end{array} \right. ( 0,3 ) , ( 11,0 ) E) \left\{ \begin{array} { c } 200 x + 100 y \geq 1,200 \\ y > x \end{array} \right. ( 4,3 ) , ( 0,10 )$