Graph x-y>2

Problem

x−y>2

Solution

1. Rewrite the inequality in slope-intercept form by isolating y

x−y>2

−y>−x+2

2. Multiply both sides by −1 and reverse the inequality sign.

y<x−2

3. Identify the boundary line by treating the inequality as an equation.

y=x−2

4. Determine the line style. Since the inequality is strictly less than (<, use a dashed line to show that points on the line are not included in the solution.

5. Test a point not on the line, such as (0,0) to determine which side to shade.

0<0−2

0<−2

6. Shade the region. Since the test point (0,0) resulted in a false statement, shade the region on the opposite side of the line (the region below the line).

Final Answer

y<x−2

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