Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 3.0 Junior Find the answer

Given the set $U=\{-2,-1,1,3,5\}$ , and the set $A=\{-1,3\}$ , find the complement of $A$ in $U$ , denoted as $∁_{U}A$ .

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

Since the set $U=\{-2,-1,1,3,5\}$ , and the set $A=\{-1,3\}$ ,

The complement of $A$ in $U$ , denoted as $C_{U}A$ , is the set of elements in $U$ that are not in $A$ . So, we have:

$C_{U}A=\{-2,1,5\}$

Hence, the answer is $\boxed{\{-2,1,5\}}$ .

This problem tests the understanding of complement sets and their operations. Familiarity with the definition of a complement set is key to solving this problem. This problem is a straightforward application of the complement set definition, and thus, it is not particularly challenging.

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.