Question

the system of inequalities in the graph represents the change in an account, y, depending on the days delinquent, x. which symbol could be written in both circles in order to represent this system algebraically? y o x y o -x o ≤ o ≥ o < o >

Explanation:

Step1: Identify the boundary - line equations

The two boundary - line equations are \(y = x\) and \(y=-x\).

Step2: Determine the shading regions

For the line \(y = x\), the region above the line is shaded for the first inequality. For the line \(y=-x\), the region above the line is shaded for the second inequality.

Step3: Find the correct inequality symbol

Since the regions above the lines \(y = x\) and \(y=-x\) are shaded and the lines are solid (as indicated by the graph), the inequality symbols are \(y\geq x\) and \(y\geq - x\).

Answer:

\(\geq\)