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

1 answer

To determine if the point (5, 5) is a solution to the inequality \( y \leq x + 7 \), we can substitute \( x = 5 \) and \( y = 5 \) into the inequality.

Start with the inequality: \[ y \leq x + 7 \]

Substituting the values: \[ 5 \leq 5 + 7 \]

Now simplify the right side: \[ 5 \leq 12 \]

This statement is true. Therefore, the point (5, 5) satisfies the inequality \( y \leq x + 7 \).

As a result, (5, 5) is indeed a solution to the inequality.