Question

Is (-10, 10) a solution to the inequality y ≤ x + 7?

Answer 1

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.

1. Substitute \( x = -10 \) and \( y = 10 \) into the inequality:

\[
y \leq x + 7
\]

2. Replace \( y \) with 10 and \( x \) with -10:

\[
10 \leq -10 + 7
\]

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