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(C) To identify the redundant constraint,we analyze the feasible region defined by the given inequalities:$1$) $2x - y \leq 8$$2$) $x + y \leq 20$$3$)

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$-x + y \geq -10$

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(C) To identify the redundant constraint,we analyze the feasible region defined by the given inequalities:$1$) $2x - y \leq 8$$2$) $x + y \leq 20$$3$) $-x + y \geq -10$ (which is $y \geq x - 10$)$4$) $x \geq 0$$5$) $y \geq 0$Consider the constraints $x \geq 0$ and $y \geq 0$. If $x \geq 0$,then $x - 10 \geq -10$. Since $y \geq 0$,the condition $y \geq x - 10$ is automatically satisfied for all $x \geq 0$ and $y \geq 0$ because $y$ is non-negative and $x - 10$ is at most $-10$ when $x=0$. Thus,the constraint $-x + y \geq -10$ does not restrict the feasible region further than the non-negativity constraints $x \geq 0$ and $y \geq 0$. Therefore,$-x + y \geq -10$ is a redundant constraint.

The following five inequalities form the feasible region: $2x - y \leq 8$,$x + y \leq 20$,$-x + y \geq -10$,$x \geq 0$,$y \geq 0$. Which of the following is a redundant constraint?

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