Class 11th Maths Textbook Chapter 1: Sets Exercise 4: Venn Diagrams and Operations on Sets Question 5 (iv) Solution

Question

Find the intersection of each pair of sets of question 1 above. (iv) A = {x : x is a natural number and 1 $<$ x $\le$ 6},\quad B = {x : x is a natural number and 6 $<$ x $<$ 10}

Accepted Answer

Find the elements of set A using the set of natural{math_tip:def_natural_number} numbers and the given condition.
 	ext{A = \{2, 3, 4, 5, 6}} Find the elements of set B using the set of natural{math_tip:def_natural_number} numbers and the given condition.
 	ext{B = \{7, 8, 9\}} Find the intersection of sets A and B by finding all common elements from both sets.
 {green}	extbf{Answer: A $\cap$ B = $\emptyset$}|||	extbf{Reason: Sets A and B have no common elements. Therefore, they are disjoint sets.}{/green}

Question: 5 (iv)

Answer