Understand the subject
What does a Venn diagram show?
A Venn diagram separates every element or count into one disjoint membership region.
Use it to see overlaps without double-counting people, objects, or outcomes.
See the structure
What the rule checks
Worked interpretation
Read the result in context
An element in A and B but not C belongs only in the shared A–B region.
Interpret with care
Important boundary
In three sets, the triple overlap must be restored after pair overlaps are subtracted.
Use the Set Operations Calculator to explore small finite examples.
Quick guide
How to use this calculator
- Enter values using the notation shown beside each field.
- Choose a calculation mode when the tool offers more than one interpretation.
- Read the primary answer first, then inspect the supporting details.
Calculation method
Apply the stated definition
Each region follows membership or inclusion–exclusion counts.
The calculator validates the mathematical domain before returning a result and does not replace undefined states with zero.
Worked example
Worked example
An element in A and B but not C belongs to the A∩B-only region.
Each region follows membership or inclusion–exclusion counts.
Supported inputs
Precision and limits
Finite, bounded input
Set and logic tools use finite inputs so every result can be checked completely. Each page states its practical size limit.
Notation
Set elements are comma-separated text labels. Logic operators and relation-pair notation are documented in the relevant input labels.
