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

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 B using the set of natural{math_tip:def_natural_number} numbers and the given condition.
 	ext{B = \{2, 4, 6, 8, 10,$\ldots$}} Find the intersection of sets A and B by finding all common elements from both sets.

**Trick:** If B $\subset$ A, then A $\cap$ B = B
 {green}	extbf{Answer: A $\cap$ B = B = \{2, 4, 6, 8, 10,$\ldots$\}}{/green}

Question: 7 (i)

Answer