Is (5, 0) a solution to the inequality y ≤ x + 7?

1 answer

To determine if the point (5, 0) is a solution to the inequality \( y \leq x + 7 \), we can substitute the values of \( x \) and \( y \) from the point into the inequality.

The point (5, 0) has \( x = 5 \) and \( y = 0 \).

Now substitute these values into the inequality:

\[ 0 \leq 5 + 7 \]

Simplifying the right side:

\[ 0 \leq 12 \]

This statement is true. Therefore, the point (5, 0) is indeed a solution to the inequality \( y \leq x + 7 \).