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 ○ x y ○ -x

Explanation:

Step1: Analyze the dashed line \(y = x\)

The dashed line \(y=x\) has a positive slope. The shaded region for \(y\) and \(x\) is above the line \(y = x\). For a dashed line \(y=mx + b\) (here \(m = 1,b=0\)), the inequality is \(y>x\) (since the shaded region is above the line and the line is dashed).

Step2: Analyze the solid line \(y=-x\)

The solid line \(y =-x\) has a negative slope. The shaded region for \(y\) and \(-x\) is below the line \(y=-x\). For a solid line \(y=mx + b\) (here \(m=- 1,b = 0\)), the inequality is \(y\leq -x\) (since the shaded region is below the line and the line is solid).

Answer:

\(y>x\) and \(y\leq -x\)