To determine if the point \((8, 2)\) is a solution to the inequality \(y \geq 3x + 9\), we can substitute \(x = 8\) and \(y = 2\) into the inequality and see if it holds true.
First, let's calculate \(3x + 9\) when \(x = 8\):
\[ 3(8) + 9 = 24 + 9 = 33 \]
Now, we compare \(y\) with \(3x + 9\):
\[ 2 \geq 33 \]
This statement is false. Therefore, \((8, 2)\) is not a solution to the inequality \(y \geq 3x + 9\).
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