To determine if the point (2, 10) is a solution to the inequality \( y > 2x + 6 \), we can substitute \( x = 2 \) and \( y = 10 \) into the inequality.
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Substitute \( x = 2 \) into the equation: \[ y > 2(2) + 6 \] Simplifying the right side: \[ y > 4 + 6 \] \[ y > 10 \]
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Now, substitute \( y = 10 \) into the inequality: \[ 10 > 10 \]
This statement is false because \( 10 \) is not greater than \( 10 \).
Thus, the point (2, 10) is not a solution to the inequality \( y > 2x + 6 \).