Set Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Let C={a,e,i,o,u}C = \{a, e, i, o, u\}. List all elements of CC and state the cardinality ∣C∣|C|.

Solution

  1. 1
    The elements are a,e,i,o,ua, e, i, o, u.
  2. 2
    Count the elements: there are 5, so ∣C∣=5|C| = 5.

Answer

∣C∣=5|C| = 5
The cardinality of a set is the number of distinct elements it contains.

About Set

A well-defined collection of distinct, unordered objects called elements, described either by listing or by a membership rule.

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More Set Examples

Example 1 easy

Let [formula]. Determine whether [formula] and whether [formula].

Example 2 medium

Write the set [formula] in roster notation.

Example 4 easy

Are the sets [formula] and [formula] equal? Explain.

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