Class 11th Maths Textbook Chapter 1: Sets Exercise 4: Venn Diagrams and Operations on Sets Question 8 (iii) Solution

Question

Which of the following pairs of sets are disjoint: (iii) {x : x is an even integer} and {x : x is an odd integer}

Accepted Answer

Find the elements of the first set using the set of integers{math_tip:def_integer} and the given condition.
 	ext{\{$\ldots$, -4, -2, 0, 2, 4,$\ldots$\}} Find the elements of the second set using the set of integers{math_tip:def_integer} and the given condition.
 	ext{\{$\ldots$, -3, -1, 1, 3,$\ldots$\}} Determine whether there is any common element between the two sets.
 {green}	extbf{Answer: Disjoint}|||	extbf{Reason: The sets have no common elements. Therefore, they are disjoint sets.}{/green}

Question: 8 (iii)

Answer