Let A = x : x ∈ N , B = x : x = 2 n , n ∈ N , C = x : x = 2 n − 1 , n ∈ N and D = { x : x is a prime natural number } . Find: A ∩ C .

Given A = { x : x ∈ N } = { 1 , 2 , 3 , … } = set of natural numbers B = { x : x = 2 n , n ∈ N } = { 2 , 4 , 6 , 8 , … } = set of even natural numbers C = { x : x = 2 n - 1 , n ∈ N } = { 1 , 3 , 5 , 7 , … } = set of odd natural numbers D = { x : x is a prime natural number } = { 2 , 3 , 5 , 7 , … } = set of prime natural numbers. A ∩ C denotes intersection of the two sets A and C , which consists of elements which are common to both A and C . A contains all the elements of C ∴ C ⊂ A Hence, A ∩ C = 1 , 2 , 3 , . . ∩ 1 , 3 , 5 , 7 , . . = 1 , 3 , 5 , 7 . . . .

Let A = x : x ∈ N , B = x : x = 2 n , n ∈ N , C = x : x = 2 n − 1 , n ∈ N and D = { x : x is a prime natural number } . Find: A ∩ D .

Given A = { x : x ∈ N } = { 1 , 2 , 3 , … } = set of natural numbers B = { x : x = 2 n , n ∈ N } = { 2 , 4 , 6 , 8 , … } = set of even natural numbers C = { x : x = 2 n - 1 , n ∈ N } = { 1 , 3 , 5 , 7 , … } = set of odd natural numbers D = { x : x is a prime natural number } = { 2 , 3 , 5 , 7 , … } = set of prime natural numbers. A ∩ D denotes intersection of the two sets A and D , which consists of elements which are common to both A and D . A contains all the elements of D ∴ D ⊂ A Hence, A ∩ D = 1 , 2 , 3 , . . . ∩ 2 , 3 , 5 , 7 . . . = 2 , 3 , 5 , 7 . . . .

Let A = x : x ∈ N , B = x : x = 2 n , n ∈ N , C = x : x = 2 n − 1 , n ∈ N and D = { x : x is a prime natural number } . Find: B ∩ D .

Given A = { x : x ∈ N } = { 1 , 2 , 3 , … } = set of natural numbers B = { x : x = 2 n , n ∈ N } = { 2 , 4 , 6 , 8 , … } = set of even natural numbers C = { x : x = 2 n - 1 , n ∈ N } = { 1 , 3 , 5 , 7 , … } = set of odd natural numbers D = { x : x is a prime natural number } = { 2 , 3 , 5 , 7 , … } = set of prime natural numbers. B ∩ D denotes the intersection of the two sets B and D , which consists of elements that are common to both B and D . 2 is the only natural number which is even and a prime number. Now, B ∩ D = 2 , 4 , 6 , 8 . . . ∩ 2 , 3 , 5 , 7 . . . = 2 ∴ B ∩ D = 2 .

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 ∪ B '

Given: 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 A ∪ B = 1 , 2 , 3 , 4 ∪ 2 , 4 , 6 , 8 A ∪ B = 1 , 2 , 3 , 4 , 6 , 8 ( A ∪ B ) ' means Complement of A ∪ B with respect to universal set U . A ∪ B ' = U - A ∪ B A ∪ B ' = 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 - 1 , 2 , 3 , 4 , 6 , 8 A ∪ B ' = 5 , 7 , 9

E M B I B E

MATHEMATICS for CLASS XI>Chapter 1 - Sets>EXERCISE 1.5

R D Sharma Solutions for Chapter: Sets, Exercise 5: EXERCISE 1.5

Author:R D Sharma

R D Sharma Mathematics Solutions for Exercise - R D Sharma Solutions for Chapter: Sets, Exercise 5: EXERCISE 1.5

Attempt the practice questions on Chapter 1: Sets, Exercise 5: EXERCISE 1.5 with hints and solutions to strengthen your understanding. MATHEMATICS for CLASS XI solutions are prepared by Experienced Embibe Experts.

Questions from R D Sharma Solutions for Chapter: Sets, Exercise 5: EXERCISE 1.5 with Hints & Solutions

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 1 - Sets>EXERCISE 1.5>Q 3

Let $A = \{x : x \in N\}, B = \{x : x = 2 n, n \in N\}, C = \{x : x = 2 n - 1, n \in N\}$ and $D = {x : x$ is a prime natural number $}$ . Find: $A \cap C$ .

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 1 - Sets>EXERCISE 1.5>Q 3

Let $A = \{x : x \in N\}, B = \{x : x = 2 n, n \in N\}, C = \{x : x = 2 n - 1, n \in N\}$ and $D = {x : x$ is a prime natural number $}$ . Find: $A \cap D$ .

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 1 - Sets>EXERCISE 1.5>Q 3

Let $A = \{x : x \in N\}, B = \{x : x = 2 n, n \in N\}, C = \{x : x = 2 n - 1, n \in N\}$ and $D = {x : x$ is a prime natural number $}$ . Find: $B \cap D$ .

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 1 - Sets>EXERCISE 1.5>Q 5

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 : $B^{'}$

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 1 - Sets>EXERCISE 1.5>Q 5

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 : ${(A \cap C)}^{'}$

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 1 - Sets>EXERCISE 1.5>Q 5

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

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 1 - Sets>EXERCISE 1.5>Q 5

Let $U = \{1, 2, 3, 4, 5, 6, 7, 8, 9\}, A = \{1, 2, 3, 4\}, B = \{2, 4, 6, 8\}$ and $C = \{3, 4, 5, 6\}$ . If ${(A^{'})}^{'} = \{a, b, c, d\}$ , then find the value of $(a + b + c + d)$ .