Inequality Graphing Calculator

Boundary Equation
Line Type
Shading
Test Point (0,0)

How It Works

This inequality graphing calculator uses established formulas to provide accurate results.

The basic rule:

  • Boundary line: ax + by = c
  • < or >: dashed line (open boundary)
  • ≤ or ≥: solid line (closed boundary)
  • Test point method: pick (0,0), check if it satisfies the inequality

Results are estimates. Consult a professional for critical decisions.

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Frequently Asked Questions

How do I graph a linear inequality?

1) Graph the boundary line (ax + by = c). Use dashed for < or >, solid for ≤ or ≥. 2) Pick a test point not on the line (usually (0,0)). 3) If the test point satisfies the inequality, shade that side; otherwise shade the other side.

When do I use a dashed vs solid line?

Use a dashed line for strict inequalities (< or >) because points on the line are NOT solutions. Use a solid line for ≤ or ≥ because points on the line ARE solutions.

What if the boundary passes through the origin?

If the line passes through (0,0), you cannot use it as a test point. Choose any other convenient point like (1,0) or (0,1) instead.