Q7. 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

Here, A = {1,2,3,4,5,6...........}

B = {2,4,6,8,10...........}

C = {1,3,5,7,9,11,...........}

D = {2,3,5,7,11,13,17,......}

(i) A $\cap$ B = {2,4,6,8,10........} = B

(ii) A $\cap$ C = {1,3,5,7,9.........} = C

(iii) A $\cap$ D  = {2,3,5,7,11,13.............} = D

(iv) B $\cap$ C  = $\phi$

(v) B $\cap$ D  = {2}

(vi) C $\cap$ D = {3,5,7,11,13,..........} = $\left ( x:x \, is\, \, odd\, \, \, prime \, \, number \right )$

Related Chapters

Preparation Products

JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
Knockout JEE Main April 2021 (Easy Installments)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-