Solid or Dashed
Part of the Graphs & Systems section of Coddy's Algebra journey. Lesson 43 of 64.
Whether the boundary belongs is the same endpoint question as on the number line, drawn differently: y <= x + 1 includes its line and draws it solid; y < x + 1 excludes it and draws it dashed. Points ON a dashed boundary satisfy the equation but not the strict inequality.
So a shaded picture carries two decisions: which side, and whether the fence counts. Solid for ≤ and ≥, dashed for < and >, exactly matching filled and open dots from the Inequalities section.
Challenge
Shade the solutions of y >= -x + 2, minding whether the boundary counts.
Try it yourself
Draw the graph
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Graphs & Systems
1The Coordinate Plane
Two Numbers, One PointThe Four QuadrantsPoints on the AxesMirror PointsRecap: The Plane4Slope-Intercept Form
y = mx + bThe Starting HeightWrite the EquationSolve for yDraw From Any FormRecap: y = mx + b7Parallel & Perpendicular
Same Slope, Never MeetThe Perpendicular SlopeA Right-Angle LineRecap: Two Relations2From Rule to Line
A Rule Makes PointsThe Points Line UpOn the Line or Not?Between the DotsRecap: Rule to Line