Set Math Example 4

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

easy

Are the sets

\{2, 4, 4, 6\}

and

\{6, 2, 4\}

equal? Explain.

1
Sets ignore order and repeated elements, so $\{2, 4, 4, 6\}$ simplifies to $\{2, 4, 6\}$ .
2
The other set is also $\{2, 4, 6\}$ , so the two sets are equal.

Answer

\{2, 4, 4, 6\} = \{6, 2, 4\}

A set is determined only by membership. Repeating an element does not create a new element, and changing the order does not change the set.

About Set

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

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

Write the set [formula] in roster notation.

Let [formula]. List all elements of [formula] and state the cardinality [formula].