(A) Given sets are $A = \{1, 2, 3, 4\}$ and $C = \{3, 4, 5, 6\}$.First,find the union of sets $A$ and $C$:$A \cup C = \{1, 2, 3, 4\} \cup \{3, 4, 5, 6

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(A) Given sets are $A = \{1, 2, 3, 4\}$ and $C = \{3, 4, 5, 6\}$.First,find the union of sets $A$ and $C$:$A \cup C = \{1, 2, 3, 4\} \cup \{3, 4, 5, 6\} = \{1, 2, 3, 4, 5, 6\}$.The complement $(A \cup C)'$ is defined as $U \setminus (A \cup C)$,where $U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}$.$(A \cup C)' = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} \setminus \{1, 2, 3, 4, 5, 6\} = \{7, 8, 9\}$.

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 $(A \cup C)'$.

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

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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:
$A = \{ x : x \text{ is a natural number divisible by } 3 \text{ and } 5 \}$

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Let $U = \{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 \}$,$A = \{ 1, 2, 5 \}$,and $B = \{ 6, 7 \}$. Then $A \cap B'$ is:

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Let $U$ be the set of all triangles in a plane. If $A$ is the set of all triangles with at least one angle different from $60^{\circ},$ what is $A^{\prime}$?

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For the two events $A$ and $B$,$P(A) = 0.38$ and $P(B) = 0.41$. Find the value of $P(\text{not } A)$.

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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 $(A \cup C)'$.

Similar Questions

Taking the set of natural numbers as the universal set,write down the complement of the following set:$A = \{ x : x \text{ is a natural number divisible by } 3 \text{ and } 5 \}$

Let $U = \{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 \}$,$A = \{ 1, 2, 5 \}$,and $B = \{ 6, 7 \}$. Then $A \cap B'$ is:

Let $U$ be the set of all triangles in a plane. If $A$ is the set of all triangles with at least one angle different from $60^{\circ},$ what is $A^{\prime}$?

For the two events $A$ and $B$,$P(A) = 0.38$ and $P(B) = 0.41$. Find the value of $P(\text{not } A)$.

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Taking the set of natural numbers as the universal set,write down the complement of the following set:
$A = \{ x : x \text{ is a natural number divisible by } 3 \text{ and } 5 \}$