Graph y>2x+1

Problem

y>2*x+1

Solution

1. Identify the boundary line by replacing the inequality symbol with an equals sign, which gives the linear equation y=2*x+1

2. Determine the line style by looking at the inequality symbol; since it is a "greater than" symbol (> and not "greater than or equal to" (≥, the boundary line is drawn as a dashed line.

3. Plot the boundary line using the y-intercept (0,1) and the slope m=2 which means moving up 2 units and right 1 unit to the point (1,3)

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

5. Evaluate the test point in the inequality: 0>2*(0)+1 simplifies to 0>1 which is false.

6. Shade the region that does not contain the test point (0,0) which is the area above the dashed line.

Final Answer

y>2*x+1

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