The feasible region for the constraints x-2 l | vedclass

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(B) The given constraints are:$1$) $x - 2 \leqslant y \implies y \geqslant x - 2$$2$) $x \geqslant y - 1 \implies y \leqslant x + 1$$3$) $x \geqslant

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(B) The given constraints are:$1$) $x - 2 \leqslant y \implies y \geqslant x - 2$$2$) $x \geqslant y - 1 \implies y \leqslant x + 1$$3$) $x \geqslant 2$$4$) $y \leqslant 4$$5$) $x, y \geqslant 0$Analyzing these inequalities:- The line $y = x - 2$ passes through $(2, 0)$ and $(4, 2)$. The region $y \geqslant x - 2$ is above this line.- The line $y = x + 1$ passes through $(0, 1)$ and $(3, 4)$. The region $y \leqslant x + 1$ is below this line.- The constraint $x \geqslant 2$ restricts the region to the right of the vertical line $x = 2$.- The constraint $y \leqslant 4$ restricts the region below the horizontal line $y = 4$.Combining these,the feasible region is bounded by $x = 2$,$y = x - 2$,$y = x + 1$,and $y = 4$. This corresponds to the shaded region in option $B$.

The feasible region for the constraints $x-2 \leqslant y$,$x \geqslant y-1$,$x \geqslant 2$,$y \leqslant 4$,$x, y \geqslant 0$ is represented by:

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