If A = { 3 , 5 , 7 , 9 , 11 } , B = { 7 , 9 , 11 , 13 } , C = { 11 , 13 , 15 } and D = 15 , 17 , find A ∩ B .(Answer from small number to big number)

Given: A = { 3 , 5 , 7 , 9 , 11 } , B = { 7 , 9 , 11 , 13 } , C = { 11 , 13 , 15 } and D = 15 , 17 . We know that, the intersection of two sets P and Q is a set which consists of all the elements which are common to both P and Q and it is denoted by P ∩ Q . Here, A ∩ B = { 3 , 5 , 7 , 9 , 11 } ∩ { 7 , 9 , 11 , 13 } = { 7 , 9 , 11 } Therefore, A ∩ B = { 7 , 9 , 11 } .

If A = { 3 , 5 , 7 , 9 , 11 } , B = { 7 , 9 , 11 , 13 } , C = { 11 , 13 , 15 } and D = 15 , 17 , find B ∩ D .

Given: A = { 3 , 5 , 7 , 9 , 11 } , B = { 7 , 9 , 11 , 13 } , C = { 11 , 13 , 15 } and D = 15 , 17 . We know that, the intersection of two sets P and Q is a set which consists of all the elements which are common to both P and Q and it is denoted by P ∩ Q . Here, B ∩ D = { 7 , 9 , 11 , 13 } ∩ 15 , 17 = ϕ Therefore, B ∩ D = ϕ .

If A = x : x ∈ ℕ , B = { x : x ∈ ℕ and x is even } , C = { x : x ∈ N and x is odd } and D = { x : x ∈ ℕ and x is prime } then find B ∩ D .

Given: A = x : x ∈ ℕ , B = { x : x ∈ ℕ and x is even } , C = { x : x ∈ N and x is odd } and D = { x : x ∈ ℕ and x is prime } According to given condition the sets in Roster form are A = 1 , 2 , 3 , . . . , B = 2 , 4 , 6 , . . . , C = 1 , 3 , 5 , 7 . . . . , D = 2 , 3 , 5 , 7 , . . . . We know that, the intersection of two sets P and Q is a set which consists of all the elements which are common to both P and Q and it is denoted by P ∩ Q . Here, B ∩ D = 2 , 4 , 6 . . . ∩ 2 , 3 , 5 , 7 . . . . = 2 ∵ 2 is the only even prime number Therefore, B ∩ D = 2 .

If A = 2 x : x ∈ ℕ and 1 ≤ x < 4 , B = { x + 2 : x ∈ ℕ and 2 ≤ x < 5 } , C = { x : x ∈ N and 4 < x < 8 } and D = { x : x ∈ ℕ and x is prime } , then find A ∩ B .(Answer from small number to big number)

Given: A = 2 x : x ∈ ℕ and 1 ≤ x < 4 , B = { x + 2 : x ∈ ℕ and 2 ≤ x < 5 } , C = { x : x ∈ N and 4 < x < 8 } and D = { x : x ∈ ℕ and x is prime } , According to the given conditions: A = 2 1 , 2 2 , 2 3 = 2 , 4 , 6 B = 2 + 2 , 3 + 2 , 4 + 2 = 4 , 5 , 6 C = 5 , 6 , 7 D = 2 , 3 , 5 , 7 , 9 . . . . We know that, to find the intersection of two sets P and Q is a set which consists of all the elements which are common to both P and Q and it is denoted by P ∩ Q . Now, A ∩ B = 2 , 4 , 6 ∩ 4 , 5 , 6 = 4 , 6 Therefore, A ∩ B = 4 , 6

If A = 2 x : x ∈ ℕ and 1 ≤ x < 4 , B = { x + 2 : x ∈ ℕ and 2 ≤ x < 5 } , C = { x : x ∈ N and 4 < x < 8 } and D = { x : x ∈ ℕ and x is prime } , then find A ∪ B .(Answer the values in the set from small number to big number)

Given: A = 2 x : x ∈ ℕ and 1 ≤ x < 4 , B = { x + 2 : x ∈ ℕ and 2 ≤ x < 5 } , C = { x : x ∈ N and 4 < x < 8 } and D = { x : x ∈ ℕ and x is prime } , According to the given conditions: A = 2 1 , 2 2 , 2 3 = 2 , 4 , 6 B = 2 + 2 , 3 + 2 , 4 + 2 = 4 , 5 , 6 C = 5 , 6 , 7 D = 2 , 3 , 5 , 7 , 9 . . . . We know that, the union of two sets P and Q , is the set of elements which are in P or in Q or in both. It is denoted by P ∪ Q . Now, A ∪ B = 2 , 4 , 6 ∪ 4 , 5 , 6 = 2 , 4 , 5 , 6 Therefore, A ∪ B = 2 , 4 , 5 , 6 .

E M B I B E

WBCHSE Mathematics for Class 11>Set & Functions>Chapter 1 - Sets>EXERCISE 1C

R S Aggarwal Solutions for Exercise 3: EXERCISE 1C

Author:R S Aggarwal

R S Aggarwal Mathematics Solutions for Exercise - R S Aggarwal Solutions for Exercise 3: EXERCISE 1C

Attempt the practice questions from Exercise 3: EXERCISE 1C with hints and solutions to strengthen your understanding. WBCHSE Mathematics for Class 11 solutions are prepared by Experienced Embibe Experts.

Questions from R S Aggarwal Solutions for Exercise 3: EXERCISE 1C with Hints & Solutions

MEDIUM

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 1 - Sets>EXERCISE 1C>Q 2

If $A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}$ , $C = {7, 8, 9, 10, 11}$ and $D = {10, 11, 12, 13, 14}$ , find: $(A \cup B) \cup C$

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 1 - Sets>EXERCISE 1C>Q 3

If $A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15}$ and $D = \{15, 17\}$ , find $A \cap B$ .(Answer from small number to big number)

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 1 - Sets>EXERCISE 1C>Q 3

If $A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15}$ and $D = \{15, 17\}$ , find $A \cap C$ .

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 1 - Sets>EXERCISE 1C>Q 3

If $A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15}$ and $D = \{15, 17\}$ , find $B \cap C$ .

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 1 - Sets>EXERCISE 1C>Q 3

If $A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15}$ and $D = \{15, 17\}$ , find $B \cap D$ .

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 1 - Sets>EXERCISE 1C>Q 4

If $A = \{x : x \in ℕ\}, B = {x : x \in ℕ and x is even}$ , $C = {x : x \in N and x is odd}$ and $D = {x : x \in ℕ and x is prime}$ then find $B \cap D$ .

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 1 - Sets>EXERCISE 1C>Q 5

If $A = \{2 x : x \in ℕ and 1 \leq x < 4\}, B = {(x + 2) : x \in ℕ and 2 \leq x < 5},$ $C = {x : x \in N and 4 < x < 8}$ and $D = {x : x \in ℕ and x is prime}$ , then find $A \cap B$ .(Answer from small number to big number)

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 1 - Sets>EXERCISE 1C>Q 5

If $A = \{2 x : x \in ℕ and 1 \leq x < 4\}, B = {(x + 2) : x \in ℕ and 2 \leq x < 5}, C = {x : x \in N and 4 < x < 8}$ and $D = {x : x \in ℕ and x is prime}$ , then find $A \cup B$ .(Answer the values in the set from small number to big number)

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