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Gauri Sharma posted an Question
May 09, 2022 • 16:24 pm 30 points
  • IIT JAM
  • Biotechnology (BT)

4. compliment of a set : if a be a set then its compliment set is denoted by a or a' or a and a° or a' or {xx a but x e u} a/a'/Ā example, a = {2, 3, 6} b {1, 3

4. Compliment of a Set : If A be a set then its compliment set is denoted by A or A' or A and A° or A' or {xX A but x e U} A/A'/Ā Example, A = {2, 3, 6} B {1, 3, 4) U = {1, 2, 3, 4, 5, 6} then A= {1, 4, 5} B' (2, 5, 6}

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  • Priya sarda

    Complement of a Set The complement of a set is the set that includes all the elements of the universal set that are not present in the given set. Let's say A is a set of all coins which is a subset of a universal set that contains all coins and notes, so the complement of set A is a set of notes (which do not includes coins). In this article we will discuss in detail the complement of a set, its definition along with properties, solved examples, and practice questions. What is the Complement of a Set? If universal set (U) is having a subset A then the complement of set A which is represented as A', is other than the elements of set A which includes the elements of the universal set but not the elements of set A. Here, A' = {x ∈ U : x ∉ A}. In other words, the complement of a set A is the difference between the universal set and set A. Complement of Set Symbol The complement of any set is represented as A', B', C' etc. In other words, we can say, if the universal set is (U) and the subset of the universal set (A) is given then the difference of universal set (U) and the subset of the universal set (A) is the complement of the subset, that is A' = U - A. Example of Complement of a Set If the universal set is all prime numbers up to 25 and set A = {2, 3, 5} then the complement of set A is other than the elements of A. Step 1: Check for the universal set and the set for which you need to find the complement. U = {2, 3, 5, 7, 11, 13, 17, 19, 23}, A = {2, 3, 5}. Step 2: Subtract, that is (U - A). Here, U - A = A' = {2, 3, 5, 7, 11, 13, 17, 19, 23} - {2, 3, 5} = {7, 11, 13, 17, 19, 23}

  • Priya sarda best-answer

    Complement of a Set The complement of a set is the set that includes all the elements of the universal set that are not present in the given set. Let's say A is a set of all coins which is a subset of a universal set that contains all coins and notes, so the complement of set A is a set of notes (which do not includes coins). In this article we will discuss in detail the complement of a set, its definition along with properties, solved examples, and practice questions. What is the Complement of a Set? If universal set (U) is having a subset A then the complement of set A which is represented as A', is other than the elements of set A which includes the elements of the universal set but not the elements of set A. Here, A' = {x ∈ U : x ∉ A}. In other words, the complement of a set A is the difference between the universal set and set A. Complement of Set Symbol The complement of any set is represented as A', B', C' etc. In other words, we can say, if the universal set is (U) and the subset of the universal set (A) is given then the difference of universal set (U) and the subset of the universal set (A) is the complement of the subset, that is A' = U - A. Example of Complement of a Set If the universal set is all prime numbers up to 25 and set A = {2, 3, 5} then the complement of set A is other than the elements of A. Step 1: Check for the universal set and the set for which you need to find the complement. U = {2, 3, 5, 7, 11, 13, 17, 19, 23}, A = {2, 3, 5}. Step 2: Subtract, that is (U - A). Here, U - A = A' = {2, 3, 5, 7, 11, 13, 17, 19, 23} - {2, 3, 5} = {7, 11, 13, 17, 19, 23}

  • Gauri sharma

    Can Anyone please explain me the concept of compliment set?

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