Graphing Inequalities on a Number Line Calculator

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Single: one inequality. Compound AND: x must satisfy both (intersection). Compound OR: x satisfies at least one (union).
The number multiplying x in ax + b op c. Use 1 for plain x.
The number added to ax before comparing. Use 0 for no constant.
Strict inequalities (< and >) use an open circle on the number line. Non-strict (≤ and ≥) use a closed (filled) circle.
The value on the right side of the inequality: ax + b op c.
Boundary valueLess-than inequality
3

The boundary point on the number line for the first (or only) inequality

Interval notation(-∞, 3)
Set-builder notation{ x | x < 3 }
Circle type at boundaryOpen circle (strict inequality)
Arrow directionArrow extends to the left (-∞)
3
  • -10
  • -5
  • 0
  • 5
  • 10

Solved: x < 3 - boundary is 3

  • The boundary point 3 has an open circle because the inequality is strict (the endpoint is NOT included in the solution).
  • The shaded ray extends to the left, meaning all values smaller than 3 are solutions.
  • In interval notation, the solution is (-∞, 3).
  • In set-builder notation: { x | x < 3 }.

Next stepTo verify, pick any value in your solution interval and substitute it back into the original inequality - it should make the inequality true.

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