Which of the set is pairs of disjoint sets? Justify your answer. E = x : x ∈ N , x is even and x < 8 , F = x : x = 3 n , n ∈ N and n < 4

Given: E = x : x ∈ N , x is even and x < 8 , F = x : x = 3 n , n ∈ N and n < 4 According to given condition, E = { 2 , 4 , 6 } F = { 3 , 6 , 9 } We know that, disjoint sets have their intersections as null set ϕ . Now, 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 . Here, E ∩ F = { 2 , 4 , 6 } ∩ { 3 , 6 , 9 } = 6 Since, E ∩ F ≠ ϕ Hence, the given pairs of sets are not disjoint sets.

Which of the set is pairs of disjoint sets? Justify your answer. G = x : x ∈ N , x is even , H = x : x ∈ N , x is prime .

Given: G = x : x ∈ N , x is even , H = x : x ∈ N , x is prime . According to given condition, G = { 2 , 4 , 6 , 8 , 10 . . . . } H = { 2 , 3 , 5 , 7 . . . } We know that, disjoint sets have their intersections as null set ϕ . Now, 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 . Here, G ∩ H = { 2 , 4 , 6 , 8 , 10 . . . . } ∩ { 2 , 3 , 5 , 7 . . . } = 2 Since, 2 is an only even prime number, so E ∩ F ≠ ϕ Hence, the given pairs of sets are not disjoint sets.

Which of the set is pairs of disjoint sets? Justify your answer. J = x : x ∈ N , x is even , K = x : x ∈ N , x is odd

Given: J = x : x ∈ N , x is even , K = x : x ∈ N , x is odd According to given condition, J = { 2 , 4 , 6 , 8 , 10 . . . . } K = { 3 , 5 , 7 , 9 , 11 . . . } We know that, disjoint sets have their intersections as null set ϕ . Now, 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 . Here, J ∩ K = { 2 , 4 , 6 , 8 , 10 . . . . } ∩ { 3 , 5 , 7 , 9 . . . } = ϕ ⇒ n J ∩ K = 0 Since, there is no number which is both odd and even.so J ∩ K = ϕ Hence, the given pairs of sets are disjoint sets.

E M B I B E

WBCHSE Mathematics for Class 11>Chapter 1 - Sets>EXERCISE 1C>Q 12

EASY

11th West Bengal Board

IMPORTANT

Earn 100

Which of the set is pairs of disjoint sets? Justify your answer. $A = {3, 4, 5, 6} and B = {2, 5, 7, 9}$

Important Questions on Sets

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 1 - Sets>EXERCISE 1C>Q 12

Which of the set is pairs of disjoint sets? Justify your answer.

C = {1, 2, 3, 4, 5} and D = {6, 7, 9, 11}

EASY

11th West Bengal Board

IMPORTANT

WBCHSE Mathematics for Class 11>Chapter 1 - Sets>EXERCISE 1C>Q 12

Which of the set is pairs of disjoint sets? Justify your answer. $E = \{x : x \in N, x is even and x < 8\}$ , $F = \{x : x = 3 n, n \in N and n < 4\}$