(A) The universal set is $U = \{a, b, c, d, e, f, g, h\}$.The given set is $B = \{d, e, f, g\}$.The complement of set $B$,denoted as $B'$,is defined a

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(A) The universal set is $U = \{a, b, c, d, e, f, g, h\}$.The given set is $B = \{d, e, f, g\}$.The complement of set $B$,denoted as $B'$,is defined as the set of all elements in $U$ that are not in $B$.$B' = U - B = \{x : x \in U \text{ and } x \notin B\}$.Removing the elements of $B$ from $U$,we get $B' = \{a, b, c, h\}$.

Class 11 Mathematics Set Theory Complement of a Set

Easy

If $U = \{a, b, c, d, e, f, g, h\}$,find the complement of the set $B = \{d, e, f, g\}$.

A
$\{a, b, c, h\}$
B
$\{a, b, c, d\}$
C
$\{d, e, f, g\}$
D
$\{a, b, c, e\}$

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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 $(A \cup C)'$.

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The number of subsets of $\{1, 2, 3, \ldots, 9\}$ containing at least one odd number is

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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 $B^{\prime}$.

Easy

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Draw an appropriate Venn diagram for the following: $(A \cup B)'$

Easy

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

Easy

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If $U = \{a, b, c, d, e, f, g, h\}$,find the complement of the set $B = \{d, e, f, g\}$.

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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 $(A \cup C)'$.

The number of subsets of $\{1, 2, 3, \ldots, 9\}$ containing at least one odd number is

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 $B^{\prime}$.

Draw an appropriate Venn diagram for the following: $(A \cup B)'$

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

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