Write a System of Inequalities Whose Solution Set Is the Region

Multiple Choice

Write a system of inequalities whose solution set is the region shown.
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A) $x \geq 0 , y \geq 0 , y \geq \frac { 1 } { 2 } x + 7 , y \geq \frac { 5 } { 2 } x + 15$
B) $x \geq 0 , y \geq 0 , y \geq - \frac { 1 } { 2 } x + 7 , y \geq - \frac { 5 } { 2 } x + 6$
C) $x \geq 0 , y \geq 0 , y \leq - \frac { 1 } { 2 } x + 7 , y \leq - \frac { 5 } { 2 } x + 6$
D) $x \geq 0 , y \geq 0 , y \geq - \frac { 1 } { 2 } x + 7 , y \geq - \frac { 5 } { 2 } x + 15$