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 slope - intercept form of a line

The equations of the lines are \(y = x\) and \(y=-x\). We need to determine the inequality signs based on the shaded regions.

Step2: Test a point in each region

For the line \(y = x\), if we test the point \((0,1)\) which lies in the region above \(y = x\), substituting \(x = 0\) and \(y = 1\) into \(y\) and \(x\), we get \(1>0\). For the line \(y=-x\), testing the point \((0,1)\) which lies above \(y=-x\), substituting \(x = 0\) and \(y = 1\) into \(y\) and \(-x\), we get \(1>0\).

Answer:

\(>\)