Answer:
Region A
Explanation:
Given the system of inequalities:
[tex]\begin{gathered} y\ge x \\ y\ge-x \end{gathered}[/tex]
The system of inequalities is graphed and attached below:
For the inequality: y≥ x,
• Draw a line through the origin that has a positive slope and passes through the points (1,1), (2,2) and so on.
Similarly, For the inequality: y≥-x,
• Draw a line through the origin that has a positive slope and passes through the points (-1,1), (-2,2) and so on.
Therefore, the region that is the solution to the system is Region A.
