Question

Is (2, 3) a solution to this system of inequalities?

y < x + 2
x ≥ 1

Answer 1

To determine if the point (2, 3) is a solution to the given system of inequalities, we need to check if it satisfies both inequalities:

1. **For the first inequality**: \( y < x + 2 \)
- Substitute \( x = 2 \) and \( y = 3 \):
\[
3 < 2 + 2
\]
\[
3 < 4
\]
This inequality is true.

2. **For the second inequality**: \( x \geq 1 \)
- Substitute \( x = 2 \):
\[
2 \geq 1
\]
This inequality is also true.

Since both inequalities are satisfied by the point (2, 3), we can conclude that (2, 3) is indeed a solution to the system of inequalities.