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

Question 45

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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) {200x+100y<1,200yx\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 ) (0,10) ,(4,3) ( 0,10 ) , ( 4,3 )
B) {200x+100y1,200y>x\left\{ \begin{array} { c } 200 x + 100 y \leq 1,200 \\y > 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 ) (0,10) ,(0,11) ( 0,10 ) , ( 0,11 )
C) {200x+100y1,200y<x\left\{ \begin{array} { c } 200 x + 100 y \leq 1,200 \\y < 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 ) (3,3) ,(4,0) ( 3,3 ) , ( 4,0 )
D) {200x+100y1,200y>x\left\{ \begin{array} { c } 200 x + 100 y \leq 1,200 \\y > 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 ) (0,3) ,(11,0) ( 0,3 ) , ( 11,0 )
E) {200x+100y1,200y>x\left\{ \begin{array} { c } 200 x + 100 y \geq 1,200 \\y > 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 ) (4,3) ,(0,10) ( 4,3 ) , ( 0,10 )

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