(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

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

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

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

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

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

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

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