Graphing Linear Inequalities
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Objective
I can graph linear inequalities.
Part 1 of 4
Warm-up video
Khan Academy · 8:04Vetted channel
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 a linear inequality, begin by graphing the corresponding linear equation to define the boundary line.
- 2
If the inequality includes 'or equal to' (≤ or ≥), the boundary line will be solid, meaning points on the line are part of the solution.
- 3
For strict inequalities (less than < or greater than >), the boundary line is dashed and the solution includes the region above or below the line, but not the line itself.
Part 3 of 4
Practice
3 questions
When graphing a linear inequality, explain the difference between using a solid line and a dashed line for the boundary.
Describe the complete process for graphing the inequality y > 2x - 1. Include how to determine the line type and the shading direction.
Part 4 of 4
Exit ticket
Quick comprehension check
“Describe the steps you would take to graph the linear inequality y ≥ -3x + 2 on a coordinate plane. Be sure to explain how to determine the type of line to draw and which region to shade.”
Sample answer included in the free materials
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