Practice Set in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
A well-defined collection of distinct, unordered objects called elements, described either by listing or by a membership rule.
Think of a set as a bag that can hold anything — numbers, names, shapes — but with two strict rules: no duplicates allowed and the order in which items sit inside the bag does not matter.
Example 1
easyLet A = \{2, 4, 6, 8, 10\}. Determine whether 6 \in A and whether 5 \in A.
Example 2
mediumWrite the set B = \{x \in \mathbb{Z} : -2 \le x < 3\} in roster notation.
Example 3
easyLet C = \{a, e, i, o, u\}. List all elements of C and state the cardinality |C|.
Example 4
easyAre the sets \{2, 4, 4, 6\} and \{6, 2, 4\} equal? Explain.