Practice Complement in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The complement of set A relative to a universal set U is the set of all elements in U that do not belong to A, written A^c or A'.
If the universal set is all students in your school and set A is students who wear glasses, then the complement of A is every student who does NOT wear glasses. It is everything outside the circle in a Venn diagram—the NOT operator applied to a set.
Example 1
easyLet the universal set U = \{1,2,3,4,5,6,7,8,9,10\} and A = \{2,4,6,8,10\}. Find A'.
Example 2
mediumLet U = \{1,2,3,4,5,6,7,8,9,10\}, A = \{1,2,3,4,5\}, B = \{4,5,6,7\}. Find (A \cap B)'.
Example 3
easyLet U = \{a,b,c,d,e,f\} and S = \{a,c,e\}. Find S'.
Example 4
easyLet the universal set be U = \{1, 2, 3, 4, 5, 6\} and let A = \{2, 4, 6\}. Find the complement of A.