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

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

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 $A^{\prime}$.

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

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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:
$A = \{ x : x \text{ is a prime number} \}$

Easy

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The number of subsets of $\{1, 2, 3, \ldots, 9\}$ containing at least one odd number is

MediumTS EAMCET 2009

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Taking the set of natural numbers as the universal set,write down the complement of the following set: $\{x: x+5=8\}$

Easy

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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 $(B - C)'$.

Easy

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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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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 $A^{\prime}$.

Similar Questions

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

The number of subsets of $\{1, 2, 3, \ldots, 9\}$ containing at least one odd number is

Taking the set of natural numbers as the universal set,write down the complement of the following set: $\{x: x+5=8\}$

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 $(B - C)'$.

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

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