Graphing Linear Inequalities
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Objective
I can graph linear inequalities on a coordinate plane and identify the solution set.
Part 1 of 4
Warm-up video
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We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
To graph the inequality y ≤ 4x + 3, first graph the line y = 4x + 3, noting that the y-intercept is 3 and the slope is 4, then shade the area below the line.
- 2
If the inequality is strict (y < 4x + 3), graph a dashed line to indicate that the points on the line are not included in the solution.
- 3
To graph y > –½x – 6, graph a dashed line at y = –½x – 6, and shade the area above the line to represent all points where y is greater than –½x – 6.
Part 3 of 4
Practice
8 questions
What is the first step in graphing a linear inequality?
How does the inequality symbol (≤, ≥, <, >) affect the graph of a linear inequality?
Part 4 of 4
Exit ticket
Quick comprehension check
“Graph the inequality y > 2x - 1 on a coordinate plane. Use a dashed line or solid line as appropriate, and shade the solution set.”
Sample answer included in the free materials
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