# Let A = {x:x ∈ N}, B = {x:x = 2n, n ∈ N), C = {x:x = 2n – 1, n ∈ N} and, D = {x:x is a prime natural number} Find:i. A ∩ Bii. A ∩ Ciii. A ∩ Div. B ∩ Cv. B ∩ Dvi. C ∩ D

A = All natural numbers i.e. {1, 2, 3…..}

B = All even natural numbers i.e. {2, 4, 6, 8…}

C = All odd natural numbers i.e. {1, 3, 5, 7……}

D = All prime natural numbers i.e. {1, 2, 3, 5, 7, 11, …}

i. A B

A contains all elements of B.

B A

A B = B

ii. A C

A contains all elements of C.

C A

A C = C

iii. A D

A contains all elements of D.

D A

A D = D

iv. B C

B C = ϕ

There is no natural number which is both even and odd at same time.

v. B D

B D = 2

2 is the only natural number which is even and a prime number.

vi. C D

C D = {1, 3, 5, 7…}

Every prime number is odd except 2.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Interactive Quiz on Sets33 mins
Sets and Wavy Curve Methods - 0149 mins
Interactive Quiz :Sets and Wavy Curve Methods - 0663 mins
Sets and Wavy Curve Methods - 0465 mins
Sets and Wavy Curve Methods - 0754 mins
Sets and Wavy Curve Methods - 0354 mins
Sets and Wavy Curve Methods - 0565 mins
Sets and Wavy Curve Methods - 0256 mins
Sets and Wavy Curve Methods - 1252 mins
Sets and Wavy Curve Methods - 1157 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

If and x < 8}, and B = , find :

(i) A B

(ii) A B

(iii) A – B

(vi) B – A

RS Aggarwal - Mathematics