From health tips to tech hacks, find it all on IDNLearn.com. Join our community to receive prompt, thorough responses from knowledgeable experts.
Sagot :
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 \( x + 2y \leq 6 \).
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.
