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

Accepted Answer

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 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 intersection of sets B and C by finding all common elements from both sets.
 {green}	extbf{Answer: B $\cap$ C = $\emptyset$}|||	extbf{Reason: Sets B and C have no common elements. Therefore, they are disjoint sets.}{/green}

Question: 7 (iv)

Answer