(A) The complement of a set $A$,denoted by $A^{\prime}$,is defined as the set of all elements in the universal set $U$ that are not in $A$.Given $U =

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(A) The complement of a set $A$,denoted by $A^{\prime}$,is defined as the set of all elements in the universal set $U$ that are not in $A$.Given $U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}$ and $A = \{1, 2, 3, 4\}$.$A^{\prime} = U - A = \{x : x \in U \text{ and } x \notin A\}$.Removing the elements of $A$ from $U$,we get $A^{\prime} = \{5, 6, 7, 8, 9\}$.

Class 11 Mathematics Set Theory Complement of a Set

Easy

Let $U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}$,$A = \{1, 2, 3, 4\}$,$B = \{2, 4, 6, 8\}$ and $C = \{3, 4, 5, 6\}$. Find $A^{\prime}$.

A
$\{5, 6, 7, 8, 9\}$
B
$\{1, 2, 3, 4\}$
C
$\{1, 3, 5, 7, 9\}$
D
$\{2, 4, 6, 8\}$

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Set Theory

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Complement of a Set

Let $U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}$,$A = \{1, 2, 3, 4\}$,$B = \{2, 4, 6, 8\}$,and $C = \{3, 4, 5, 6\}$. Find $(A')'$.

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If $P(A) = 0.25$,$P(B) = 0.50$,and $P(A \cap B) = 0.14$,then what is the value of $P(A \cap \overline{B})$?

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Taking the set of natural numbers as the universal set,write down the complement of the following set:
$A = \{ x : x \text{ is a positive multiple of } 3 \}$

Easy

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Fill in the blank to make the following statement true: $\varnothing^{\prime} \cap A = \text{?}$

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Let $U$ be the universal set of all the students of Class $XI$ of a coeducational school and $A$ be the set of all girls in Class $XI$. Find $A'$.

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Let $U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}$,$A = \{1, 2, 3, 4\}$,$B = \{2, 4, 6, 8\}$ and $C = \{3, 4, 5, 6\}$. Find $A^{\prime}$.

Similar Questions

Let $U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}$,$A = \{1, 2, 3, 4\}$,$B = \{2, 4, 6, 8\}$,and $C = \{3, 4, 5, 6\}$. Find $(A')'$.

If $P(A) = 0.25$,$P(B) = 0.50$,and $P(A \cap B) = 0.14$,then what is the value of $P(A \cap \overline{B})$?

Taking the set of natural numbers as the universal set,write down the complement of the following set:$A = \{ x : x \text{ is a positive multiple of } 3 \}$

Fill in the blank to make the following statement true: $\varnothing^{\prime} \cap A = \text{?}$

Let $U$ be the universal set of all the students of Class $XI$ of a coeducational school and $A$ be the set of all girls in Class $XI$. Find $A'$.

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Taking the set of natural numbers as the universal set,write down the complement of the following set:
$A = \{ x : x \text{ is a positive multiple of } 3 \}$