(A) We know that the complement of the empty set $\varnothing$ is the universal set $U$,i.e.,$\varnothing^{\prime} = U$. Substituting this into the ex

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(A) We know that the complement of the empty set $\varnothing$ is the universal set $U$,i.e.,$\varnothing^{\prime} = U$. Substituting this into the expression: $\varnothing^{\prime} \cap A = U \cap A$. Since $A$ is a subset of the universal set $U$,the intersection of $U$ and $A$ is $A$. Therefore,$\varnothing^{\prime} \cap A = A$.

Class 11 Mathematics Sets Complement of a Set

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

A
$A$
B
$\varnothing$
C
$U$
D
$A^{\prime}$

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Class 11

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Chapter

Sets

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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:
$A = \{ x: x \ge 7 \}$

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

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

Easy

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Taking the set of natural numbers as the universal set,write down the complement of the following set:
$A = \{x: 2x + 5 = 9\}$

Easy

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Draw an appropriate Venn diagram for the following: $(A \cap B)^{\prime}$

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

Similar Questions

Taking the set of natural numbers as the universal set,write down the complement of the following set:$A = \{ x: x \ge 7 \}$

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

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

Taking the set of natural numbers as the universal set,write down the complement of the following set:$A = \{x: 2x + 5 = 9\}$

Draw an appropriate Venn diagram for the following: $(A \cap B)^{\prime}$

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Taking the set of natural numbers as the universal set,write down the complement of the following set:
$A = \{ x: x \ge 7 \}$

Taking the set of natural numbers as the universal set,write down the complement of the following set:
$A = \{x: 2x + 5 = 9\}$