Class 11th Maths Textbook Chapter 1: Sets Exercise 4: Venn Diagrams and Operations on Sets Question 7 (iii) 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: (iii) A $\cap$ D

Accepted Answer

Find the elements of set A using the set of natural{math_tip:def_natural_number} numbers.
 	ext{A = \{1, 2, 3, 4, 5,$\ldots$}} 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 A and D by finding all common elements from both sets.

**Trick:** If D $\subset$ A, then A $\cap$ D = D
 {green}	extbf{Answer: A $\cap$ D = D = \{2, 3, 5, 7, 11, 13,$\ldots$\}}{/green}

Question: 7 (iii)

Answer