The solution set of the constraints 2x + 3y l | vedclass

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(D) To find the solution set,we analyze the given constraints:$1$. $2x + 3y \leq 6$$2$. $5x + 3y \leq 15$$3$. $x \geq 0, y \geq 0$We test each point a

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$(0, 5)$

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(D) To find the solution set,we analyze the given constraints:$1$. $2x + 3y \leq 6$$2$. $5x + 3y \leq 15$$3$. $x \geq 0, y \geq 0$We test each point against the constraints:For point $(0, 2)$: $2(0) + 3(2) = 6 \leq 6$ (True) and $5(0) + 3(2) = 6 \leq 15$ (True).For point $(0, 0)$: $2(0) + 3(0) = 0 \leq 6$ (True) and $5(0) + 3(0) = 0 \leq 15$ (True).For point $(3, 0)$: $2(3) + 3(0) = 6 \leq 6$ (True) and $5(3) + 3(0) = 15 \leq 15$ (True).For point $(0, 5)$: $2(0) + 3(5) = 15 
ot\leq 6$ (False) and $5(0) + 3(5) = 15 \leq 15$ (True).Since the point $(0, 5)$ violates the first constraint,it is not in the solution set.

The solution set of the constraints $2x + 3y \leq 6$,$5x + 3y \leq 15$,$x \geq 0$,and $y \geq 0$ does not include which of the following points?

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