The solution set of x-y geq 0 is shown graphi | vedclass

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(C) The given inequality is $x - y \geq 0$,which can be rewritten as $x \geq y$ or $y \leq x$. To graph this,we first consider the boundary line $x -

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(C) The given inequality is $x - y \geq 0$,which can be rewritten as $x \geq y$ or $y \leq x$. To graph this,we first consider the boundary line $x - y = 0$,which is the line $y = x$. Since the inequality is $\geq$ (greater than or equal to),the boundary line $y = x$ must be included in the solution set,so we draw it as a solid line. Next,we test a point not on the line,such as $(1, 0)$. Substituting $(1, 0)$ into the inequality: $1 - 0 = 1$,and $1 \geq 0$ is true. Therefore,the region containing the point $(1, 0)$ is the solution set. This corresponds to the region below the line $y = x$ (where $x$ values are greater than $y$ values). Looking at the options,the graph in Option $C$ shows the solid line $x - y = 0$ with the shaded region below it.

The solution set of $x-y \geq 0$ is shown graphically by

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