To determine if the point (5, 5) is a solution to the inequality \( y \leq x + 7 \), we can substitute \( x = 5 \) and \( y = 5 \) into the inequality.
Start with the inequality: \[ y \leq x + 7 \]
Substituting the values: \[ 5 \leq 5 + 7 \]
Now simplify the right side: \[ 5 \leq 12 \]
This statement is true. Therefore, the point (5, 5) satisfies the inequality \( y \leq x + 7 \).
As a result, (5, 5) is indeed a solution to the inequality.
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