Graph y<3x-1

Problem

y<3*x−1

Solution

1. Identify the boundary line by replacing the inequality symbol with an equals sign to get y=3*x−1

2. Determine the line style by looking at the inequality symbol. Since the symbol is < the boundary line is dashed to show that points on the line are not included in the solution set.

3. Find two points to plot the line. The yintercept is (0,−1) Using the slope m=3 another point is (1,2)

4. Test a point not on the line, such as (0,0) to determine which side to shade. Substituting into the inequality gives 0<3*(0)−1 which simplifies to 0<−1

5. Shade the region that makes the inequality true. Since 0<−1 is false, shade the region on the opposite side of the line from (0,0) which is the region below the line.

Final Answer

To graph y<3*x−1 plot the dashed line y=3*x−1 and shade the region below it.

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