Class 11th Maths Textbook Chapter 1: Sets Exercise 4: Venn Diagrams and Operations on Sets Question 7 (vi) Solution

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: (vi) C $\cap$ D

Accepted Answer

Find the elements of set C using the set of natural{math_tip:def_natural_number} numbers and the given condition.
 	ext{C = \{1, 3, 5, 7, 9,$\ldots$}} Find the elements of set D that are prime{math_tip:def_prime_number} numbers.
 	ext{D = \{2, 3, 5, 7, 11, 13,$\ldots$}} Find the intersection of sets C and D by finding all common elements from both sets.
 {green}	extbf{Answer: \{3, 5, 7, 11, 13,$\ldots$\} or \{x : x is an odd prime number\}} {itip:Interesting Fact|All prime numbers except 2 are odd.}{/green}

Question: 7 (vi)

Answer