Class 11th Maths Textbook Chapter 1: Sets Exercise 5: Complement of a Set Question 3 (viii) Solution

Question

Taking the set of natural numbers as the universal set, write down the complements of the following sets: (viii) {x : x + 5 = 8}

Accepted Answer

Find the elements of the set by solving the equation (x + 5 = 8).
 	ext{x = 8 - 5}|||	ext{x = 3}|||	ext{Therefore, the given set = \{3\}} Find the complement of the given set by finding the elements of the universal set of natural{math_tip:def_natural_number} numbers that are not elements of the given set.
 {green}	extbf{Answer: \{x : x $\in$ N, x $
eq$ 3\}}|||	extbf{Reason: The set contains only the element 3. Therefore, its complement consists of all natural numbers except 3.}{/green}

Question: 3 (viii)

Answer