Solve and visualize systems of inequalities on a number line.
Inequality bounds a < x < b
Solution
(2, 8)
Interval Notation
The set of points satisfying both conditions.
Solution Width6.00
StatusValid Range
-∞-10010+∞
Number Line Visualization
About this calculator
Quick Reference
Intersection (AND)Overlap of sets
Union (OR)Total of all sets
No SolutionLower > Upper
Nested Inequalities
A compound inequality is a sentence with two inequality statements joined by the word 'and' or 'or'. An 'AND' inequality (like a < x < b) requires both conditions to be true, resulting in the intersection of the two sets.
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Pro Tips
Square brackets [ ] mean the endpoint is included (≤ or ≥).
Parentheses ( ) mean the endpoint is excluded (< or >).
If the lower bound is greater than the upper bound, there is no solution.
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Fun Facts
"The compound 'OR' inequality is called a Union."
"The compound 'AND' inequality is called an Intersection."
"Compound inequalities are used in programming and electronics to define range thresholds."
