Final answer:
To graph an inequality in two variables, rewrite the inequality in the form y = mx + b, plot the points that satisfy the inequality, draw a line through those points, and shade the region that represents the solution set.
Step-by-step explanation:
To graph an inequality in two variables, you will need to plot the points that satisfy the inequality and shade the region that represents the solution. Here are the steps to graph an inequality:
- First, rewrite the inequality in the form y = mx + b, where m is the slope and b is the y-intercept.
- Plot the y-intercept on the y-axis.
- Use the slope to find a second point and plot it on the graph.
- Draw a dashed or solid line that passes through both points.
- Determine which side of the line represents the solution set by choosing a test point in that region.
- Shade the region that satisfies the inequality.