Inequality to Interval Notation Calculator

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One-sided: a single bound extending to infinity. Two-sided: both a lower and upper bound. Compound OR: two separate rays joined by a union.
Strict inequalities use a parenthesis (open endpoint); non-strict use a bracket (closed endpoint).
The numeric boundary value. For two-sided and compound-or this is the LEFT (smaller) endpoint.
Interval notation
(3, +inf)

The standard mathematical interval notation for the solution set.

Set-builder notation{ x | x > 3 }
Plain-English descriptionAll real numbers strictly greater than 3, extending right to positive infinity.

Interval notation: (3, +inf)

  • All real numbers strictly greater than 3, extending right to positive infinity.
  • Unbounded intervals extend forever in one direction. They always use a parenthesis at the infinity end, because infinity is not a real number and cannot be reached.
  • Interval notation is shorthand: parentheses "( )" mean the endpoint is excluded, and square brackets "[ ]" mean it is included.

Next stepSet-builder form: { x | x > 3 }

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