(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 =

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(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
$\{1, 3, 7, 9\}$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Set Theory

Subtopic

Complement of a Set

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 $(A')'$.

Easy

View Solution

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

Easy

View Solution

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

Easy

View Solution

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:

Easy

View Solution

Consider the experiment of rolling a die. Let $A$ be the event 'getting a prime number' and $B$ be the event 'getting an odd number'. Write the set representing the event 'not $A$'.

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

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

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 $(A')'$.

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

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

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:

Consider the experiment of rolling a die. Let $A$ be the event 'getting a prime number' and $B$ be the event 'getting an odd number'. Write the set representing the event 'not $A$'.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

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