Question

Is (-1, -5) a solution to the inequality y ≤ x + 7?

Answer 1

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 \( y \leq x + 7 \)**.