Question

Graph the following system of inequalities to determine which region is the solution to the system

Answer 1

Region A

Step-by-step explanation:

Given the system of inequalities:

`\begin{gathered} y\ge x \\ y\ge-x \end{gathered}`

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.