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GCSE Mathematics · key term
A collection of distinct objects, numbers or outcomes, called its elements.
Used by AQA, Edexcel and OCR
Specification P6 · Paper 1, Paper 2, Paper 3
A collection of distinct elements, usually written inside braces such as {1, 2, 3}.
Revise: Enumerating SetsA set collects distinct elements inside braces. The set of digits used above is {1, 2, 3}; changing their order does not make a different set. By contrast, 123 and 132 are different three-digit numbers.
Specification P6 · Paper 1, Paper 2, Paper 3
In a Venn diagram, put shared elements in the overlap first. Check for elements that belong outside both circles but inside the universal set.
Remember that union includes the intersection: members in both sets must appear in .
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The order in which you work is important because it helps you avoid missing or repeating anything, even though the elements of a mathematical set do not themselves have an order.
Specification 11.02c · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)
A collection of numbers or objects defined by a shared property.
Revise: Venn DiagramsA set is a collection whose members can be identified clearly.
Do not confuse with the region outside every circle. means everything in the universal set that is not in , including any part of another set outside .