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

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 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 A and C by finding all common elements from both sets.

**Trick:** If C $\subset$ A, then A $\cap$ C = C
 {green}	extbf{Answer: A $\cap$ C = C = \{1, 3, 5, 7, 9,$\ldots$\}}{/green}

Question: 7 (ii)

Answer