Graph a two-variable linear inequality
Graph inequality solution regions using boundary lines and shading.
Do this: Read the concept below, then try the quiz or activity.
Lesson 75 of 192
39%
Concept
Graph the boundary line first. Use dashed lines for < or > and solid lines for ≤ or ≥, then shade the correct side.
Try it
Graph y ≥ -x + 2 and identify whether (0,0) is in the solution set.
📈 Coordinate Grapher
Use inequality mode and verify your shading decision with test points.
y = y = 1x
Common Misconception
Always verify your result in context instead of trusting a first pass.
Graph inequality steps
These steps are out of order — can you fix them?
1.Shade true region
2.Graph boundary line style
3.Rewrite in slope-intercept form
4.Test a point
Short Answer
How do line style and shading encode the solution set?
Mastery Check
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