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math.stackexchange.com/.../916950/complement-of-universal-set

Assuming that in your set theory it is consistent to talk about the universal set and it is \$\{x:x=x\}\$, then its complement is \$\$ \{x:x\ne x\} \$\$ so no set can belong to it. In other words, the complement of the universal set is the empty set. It's true that \$\emptyset\$ is a subset of any set, but this has no consequence on the fact above.

www.math-only-math.com/complement-of-a-set.html

The complement of a universal set is an empty set. The complement of an empty set is a universal set. The set and its complement are disjoint sets. For Example; 1. Let the set of natural numbers be the universal set and A is a set of even natural numbers, then A' {x: x is a set of odd natural numbers} 2.

Sal moves onto more challenging set ideas and notation like the universal set and absolute complement. If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Explains the universal set and set complements. This video is provided by the Learning Assistance Center of Howard Community College. For more math videos and exercises, go to HCCMathHelp.com.

The complement of A is the set of elements of the universal set that are not elements of A. In our example above, the complement of {-2, -1, 0, 1} is the set containing all the integers that do ...

en.wikipedia.org/wiki/Complement_(set_theory)

In set theory, the complement of a set A refers to elements not in A.. When all sets under consideration are considered to be subsets of a given set U, the absolute complement of A is the set of elements in U but not in A.. The relative complement of A with respect to a set B, also termed the difference of sets A and B, written B ∖ A, is the set of elements in B but not in A

courses.lumenlearning.com/math4libarts/chapter/union...

Universal Set. A universal set is a set that contains all the elements we are interested in. This would have to be defined by the context. A complement is relative to the universal set, so Ac contains all the elements in the universal set that are not in A. Example 6. a) If we were discussing searching for books, the universal set might be all ...