To determine if the point (5, 0) is a solution to the inequality \( y \leq x + 7 \), we can substitute the values of \( x \) and \( y \) from the point into the inequality.
The point (5, 0) has \( x = 5 \) and \( y = 0 \).
Now substitute these values into the inequality:
\[ 0 \leq 5 + 7 \]
Simplifying the right side:
\[ 0 \leq 12 \]
This statement is true. Therefore, the point (5, 0) is indeed a solution to the inequality \( y \leq x + 7 \).