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The letters in this answer are a set. The complement of that set is all the letters in the alphabet not in the first sentence. So the letter z is in the complement and the letter t is in the set.

Here is another example, consider the all the number between 1 and 100. One set is the numbers 1-50. The complement is the numbers 51-100.

You need to define the universal set or universe of discourse. That is the things we are dealing with. In the first example it was the letters of the English alphabet, in the second it was the number 1-100.

Here is one last example. If the universal set is all people on the planet. Set A might be the people with blue eyes. The complement might be people with any other color eyes.

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Related Questions

What is complement of a set means?

The complement of a set refers to the elements that are not included in that set but are part of a larger universal set. For example, if the universal set is all natural numbers and set A consists of even numbers, the complement of set A would be all the odd numbers within the universal set. Mathematically, the complement of set A is often denoted as A'.


What is a complement in mathematics?

In mathematics, a complement refers to the difference between a set and a subset of that set. For example, if ( A ) is a set and ( B ) is a subset of ( A ), the complement of ( B ) in ( A ) consists of all elements in ( A ) that are not in ( B ). This concept is commonly used in set theory and probability, where the complement of an event represents all outcomes not included in that event.


What is complement of an empty set?

The complement of an empty set is universal set


What symbol for complement of a set?

The symbol for the complement of a set is typically represented by a superscript "c" or a prime symbol (e.g., (A^c) or (A')). It denotes all the elements in the universal set that are not in set (A). For example, if the universal set is (U) and (A) is a subset of (U), then (A^c = U - A).


What are the example of modifier complement?

example modifier and complement


What does the word complement mean in maths?

In mathematics, the term "complement" refers to the concept of a set that includes all elements not in a given set, typically relative to a universal set. For example, if ( U ) is the universal set and ( A ) is a subset of ( U ), the complement of ( A ) (denoted as ( A' ) or ( U - A )) consists of all elements in ( U ) that are not in ( A ). In geometry, the complement can also refer to angles that add up to 90 degrees, such as the complement of a 30-degree angle being a 60-degree angle.


Is the complement of the complement of a universal set is called a null set?

yes


What does the complement of a set mean?

The complement of a set "A" is another set - call it "B" - that contains all the elements (of the universe under consideration) which are NOT in set "A". The "universe" must be specified (or implied), since concepts like the "set of all sets" are known to cause contradictions. For example, if the universe is all the people living in my country, and set "A" is all male people, then the "complement" would be the female people.


What does it mean to have A with a ' above it?

This has to do with sets in math. It means "is complemented by" (and yes, complemented is spelled right). for example: c' (read as: c complement or c is a complement of) the set of W. it means everything outside the set of W.


What are infinite set that has a finite complement?

An infinite set with a finite complement is a set that contains infinitely many elements, while the elements not in the set (the complement) are limited to a finite number. For example, the set of all natural numbers excludes a finite number of integers, such as only the number 0. This means that the complement, which in this case would be {0}, is finite, while the set of natural numbers itself is infinite. Thus, such sets are often used in various mathematical contexts, especially in topology and set theory.


Is the complement of a set is the set of all things that are in the set true or false?

false, because the complement of a set is the set of all elements that are not in the set.


Is the complement of the set of odd integers is the set of even integers?

It is if we only consider integers. If we consider all real numbers, for example, it would not be.