Answer :
Answer:
Step-by-step explanation:
It seems like your message got cut off. It looks like you are providing information about a system of inequalities involving \( x \) and \( y \):
1. \( 2x - y \leq 2 \)
2. \( x + 2y \leq 6 \)
These inequalities represent the shaded region in a coordinate plane where the solutions to both inequalities lie.
To find specific points that satisfy these inequalities:
For \( x + 2y \leq 6 \):
- When \( x = 0 \):
\[ 0 + 2y \leq 6 \]
\[ 2y \leq 6 \]
\[ y \leq 3 \]
So, the point \( (0, 3) \) is on the line \( x + 2y = 6 \) and is within the shaded region.
For \( 2x - y \leq 2 \):
- When \( x = 0 \):
\[ 2(0) - y \leq 2 \]
\[ -y \leq 2 \]
\[ y \geq -2 \]
So, the point \( (0, -2) \) is on the line \( 2x - y = 2 \) and is within the shaded region.
Therefore, the points \( (0, 3) \) and \( (0, -2) \) satisfy both inequalities and lie within the shaded region where \( 2x - y \leq 2 \) and \( x + 2y \leq 6 \).
