Graphing Inequalities
Learning Objective
I can graph two-variable inequalities on a coordinate plane and identify the solution set.
Key Concepts
To graph the inequality y ≤ 4x + 3, first graph the line y = 4x + 3, noting the y-intercept is 3 and the slope is 4, then shade the area below the line.
When graphing y > –x/2 – 6, graph the line y = –x/2 – 6 as a dashed line to show that the line itself is not included in the solution.
The solution set of an inequality includes all the points on the coordinate plane that satisfy the inequality, which can be a region above or below a line.
Practice Questions
This lesson includes 8 practice questions to reinforce learning.
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1. What does the dashed line in the graph of an inequality represent?
2. Which inequality symbol requires a solid line when graphing on a coordinate plane?
3. Explain how you would determine whether to shade above or below the line when graphing y > mx + b.
...and 5 more questions
Educational Video
Introduction to graphing inequalities | Two-variable linear inequalities | Algebra I | Khan Academy
Khan Academy