Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Home

If A= {x : x is a natural number}, B = {x : x is an even natur

Question

If A= {x : x is a natural number}, B = {x : x is an even natural number}C = {x : x is an odd natural number} and D = {x : x is a prime number }, find(i) $A \cap B$ (ii) $A \cap C$ (iii) $A \cap D$ (iv) $B \cap C$ (v) $B \cap D$ (vi) $C \cap D$

Views: 1,054 students

Found 7 tutors discussing this question

Scarlett Discussed

If A= {x : x is a natural number}, B = {x : x is an even natural number}C = {x : x is an odd natural number} and D = {x : x is a prime number }, find(i)

A \cap B

(ii)

A \cap C

(iii)

A \cap D

(iv)

B \cap C

(v)

B \cap D

(vi)

C \cap D

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

Solution: Here,

A = {1, 2, 3, 4, 5, 6, 7 \dots}

B = {2, 4, 6, 8, 10 \dots}

C = {1, 3, 5, 7, 9 \dots}

D = {2, 3, 5, 7, 11 \dots}

Now,

A \cap B = {2, 4, 6, 8, 10, \dots} = B

A \cap C = {1, 3, 5, 7, 9 \dots} = C

B \cap C = {\to

As there is no common elements.

A \cap D = {2, 3, 5, 7, 11 \dots} = D

B \cap D = {2}

C \cap D = {3, 5, 7, 11 \dots} = D - {2}

Was this solution helpful?

150

Report

One destination for complete JEE/NEET preparation

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	If A= {x : x is a natural number}, B = {x : x is an even natural number}C = {x : x is an odd natural number} and D = {x : x is a prime number }, find(i) $A \cap B$ (ii) $A \cap C$ (iii) $A \cap D$ (iv) $B \cap C$ (v) $B \cap D$ (vi) $C \cap D$
Answer Type	Text solution:1
Upvotes	150

If A= {x : x is a natural number}, B = {x : x is an even natural number}C = {x : x is an odd natural number} and D = {x : x is a prime number }, find(i) A∩B (ii) A∩C (iii) A∩D(iv) B∩C (v) B∩D (vi) C∩D

Text solutionVerified

Practice questions from similar books

If A= {x : x is a natural number}, B = {x : x is an even natural number}C = {x : x is an odd natural number} and D = {x : x is a prime number }, find(i) $A \cap B$ (ii) $A \cap C$ (iii) $A \cap D$ (iv) $B \cap C$ (v) $B \cap D$ (vi) $C \cap D$