For the following shaded area,the linear cons | vedclass

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(B) To determine the linear constraints for the shaded region,we analyze the position of the region relative to each line:$1$. For the line $2x + y =

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$2 x+y \geq 2, x-y \leq 1, x+2 y \leq 8$

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(B) To determine the linear constraints for the shaded region,we analyze the position of the region relative to each line:$1$. For the line $2x + y = 2$,the shaded region lies on the side away from the origin (non-origin side). Testing the point $(1, 1)$,we get $2(1) + 1 = 3 \geq 2$. Thus,the constraint is $2x + y \geq 2$.$2$. For the line $x - y = 1$,the shaded region lies on the side containing the origin. Testing the point $(0, 0)$,we get $0 - 0 = 0 \leq 1$. Thus,the constraint is $x - y \leq 1$.$3$. For the line $x + 2y = 8$,the shaded region lies on the side containing the origin. Testing the point $(0, 0)$,we get $0 + 2(0) = 0 \leq 8$. Thus,the constraint is $x + 2y \leq 8$.Therefore,the required linear constraints are $2x + y \geq 2, x - y \leq 1, x + 2y \leq 8$.

For the following shaded area,the linear constraints except $x, y \geq 0$ are

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