(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 Set Theory Complement of a Set

Easy

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

Set Theory

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Complement of a Set

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 $(A \cup B)'$.

Easy

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If $A$ and $B$ are two given sets,then $A \cap (A \cap B)^c$ is equal to

Easy

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If $P(A) = 0.65$ and $P(B) = 0.15$,then $P(\bar{A}) + P(\bar{B}) = $

Medium

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If $\frac{2}{11}$ is the probability of an event $A$,what is the probability of the event 'not $A$'?

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

Similar Questions

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

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 $(A \cup B)'$.

If $A$ and $B$ are two given sets,then $A \cap (A \cap B)^c$ is equal to

If $P(A) = 0.65$ and $P(B) = 0.15$,then $P(\bar{A}) + P(\bar{B}) = $

If $\frac{2}{11}$ is the probability of an event $A$,what is the probability of the event 'not $A$'?

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