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QUESTION IMAGE

tell whether $(3, 3)$ is a solution of the inequality whose graph is sh…

Question

tell whether $(3, 3)$ is a solution of the inequality whose graph is shown.
it $\boldsymbol{square}$ a solution.

Explanation:

Step1: Find boundary line equation

The line passes through $(0,0)$ and $(2,2)$, so slope $m=\frac{2-0}{2-0}=1$. Equation: $y = x$

Step2: Identify inequality direction

Shaded region is above the solid line, so inequality is $y \geq x$

Step3: Test point $(3,3)$

Substitute $x=3, y=3$: $3 \geq 3$, which is true.

Answer:

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