(A) Given sets are $U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}$,$B = \{2, 4, 6, 8\}$,and $C = \{3, 4, 5, 6\}$.First,find the difference $B - C$,which contains

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(A) Given sets are $U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}$,$B = \{2, 4, 6, 8\}$,and $C = \{3, 4, 5, 6\}$.First,find the difference $B - C$,which contains elements present in $B$ but not in $C$.$B - C = \{2, 8\}$.The complement $(B - C)'$ is defined as $U \setminus (B - C)$,which contains all elements of $U$ except those in $\{2, 8\}$.$(B - C)' = \{1, 3, 4, 5, 6, 7, 9\}$.

Class 11 Mathematics Set Theory Complement of a Set

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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 $(B - C)'$.

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

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Complement of a Set

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

Easy

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If $U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}$,$A = \{2, 4, 6, 8\}$,and $B = \{2, 3, 5, 7\}$,verify that $(A \cap B)^{\prime} = A^{\prime} \cup B^{\prime}$.

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Let $U$ be the universal set and $A \cup B \cup C = U$. Then $\{ (A - B) \cup (B - C) \cup (C - A)\} '$ is equal to

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Which of the following statements is false (where $A$ and $B$ are two non-empty sets)?

Easy

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

Easy

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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 $(B - C)'$.

Similar Questions

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

If $U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}$,$A = \{2, 4, 6, 8\}$,and $B = \{2, 3, 5, 7\}$,verify that $(A \cap B)^{\prime} = A^{\prime} \cup B^{\prime}$.

Let $U$ be the universal set and $A \cup B \cup C = U$. Then $\{ (A - B) \cup (B - C) \cup (C - A)\} '$ is equal to

Which of the following statements is false (where $A$ and $B$ are two non-empty sets)?

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

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

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