Operations on Sets

Element

A member of a set, written with the symbol ∈.

EnglishElement
Bahasa MelayuUnsur
中文元素

How it is used

For the set A = {2, 3, 5, 7}, we write 3 ∈ A (3 is an element of A) but 4 ∉ A (4 is not an element of A). The set A has 4 elements, so n(A) = 4.

Where it shows up in SPM

In the Sets and Operations on Sets chapters (Form 4). Paper 1 tests the symbols ∈ and ∉ and asks for n(A), the number of elements; understanding elements underlies every later set operation.

Don't confuse it with

Subset (⊂)Use ∈ between an element and a set (3 ∈ A); use ⊂ between two sets ({3} ⊂ A). Mixing them, like writing 3 ⊂ A, is a common error.

Open the chapter: Operations on Sets →

Frequently asked questions

What is the difference between 3 and {3}?

3 is an element, a single number; {3} is a set containing that one element. So 3 ∈ {3} is correct, and {3} ⊂ {1, 3, 5} is correct, but 3 ⊂ {1, 3, 5} is wrong because 3 is not a set.

Can a set have no elements?

Yes. A set with no elements is the empty set, written { } or ∅, and n(∅) = 0.

For example, the set of whole numbers between 3 and 4 is empty because none exist.

Related terms

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