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Subset Checker Calculator

Work out subset checker instantly with clear inputs, formula shown and shareable results.

About Subset Checker Calculator

A is a subset of B when every element of A also lies in B. It is a proper subset when it is a subset but not equal, which requires B to have at least one extra element.

Formula

Subset

A ⊆ B ⇔ every x ∈ A satisfies x ∈ B

Worked example

With the default values below, Subset Checker Calculator returns Result of A is a proper subset of B. Change any input above and every figure here is recalculated in your browser.

Inputs used

Candidate subset A
2, 4
Set B
1, 2, 3, 4, 5

Results

Result
A is a proper subset of B
|A|
2
|B|
5
Total subsets of B
32

Step by step

  1. 1Values used
  2. 2Subset
  3. 3Result= A is a proper subset of B
  4. 4|A|= 2
  5. 5|B|= 5
  6. 6Total subsets of B= 32

Assumptions and limits

  • The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to whole numbers, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Is {2, 4} a subset of {1,2,3,4,5}?

Yes, and a proper one since B has three further elements.

Is a set a subset of itself?

Yes, but not a proper subset. Proper subsets must be strictly smaller.

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