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

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

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 $B^{\prime}$.

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

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Set Theory

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Complement of a Set

Fill in the blank to make the following a true statement:
$U^{\prime} \cap A = \ldots$

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

Easy

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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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$A$ and $B$ are events such that $P(A)=0.42$,$P(B)=0.48$ and $P(A \cap B)=0.16$. Determine $P(\text{not } A)$.

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

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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 $B^{\prime}$.

Similar Questions

Fill in the blank to make the following a true statement:$U^{\prime} \cap A = \ldots$

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

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

$A$ and $B$ are events such that $P(A)=0.42$,$P(B)=0.48$ and $P(A \cap B)=0.16$. Determine $P(\text{not } A)$.

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

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Fill in the blank to make the following a true statement:
$U^{\prime} \cap A = \ldots$

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