To determine if the point (-1, -5) 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.
Given the point (-1, -5), we have:
- \( x = -1 \)
- \( y = -5 \)
Now, substitute \( x \) into the inequality:
\[ y \leq x + 7 \]
Substituting \( x = -1 \):
\[ y \leq -1 + 7 \] \[ y \leq 6 \]
Now, substitute \( y = -5 \):
\[ -5 \leq 6 \]
This statement is true. Therefore, the point (-1, -5) satisfies the inequality.
Thus, (-1, -5) is a solution to the inequality \( y \leq x + 7 \).