To determine whether the point (-10, 10) is a solution to the inequality \( y \leq x + 7 \), we can substitute the x-coordinate and y-coordinate of the point into the inequality.
- Substitute \( x = -10 \) and \( y = 10 \) into the inequality:
\[ y \leq x + 7 \]
- Replace \( y \) with 10 and \( x \) with -10:
\[ 10 \leq -10 + 7 \]
- Simplify the right side:
\[ 10 \leq -3 \]
This statement is false because 10 is not less than or equal to -3.
Therefore, the point (-10, 10) is not a solution to the inequality \( y \leq x + 7 \).