Chapter 1: Sets
Chapter 1: Sets
Exercise
Question
Question: 3 (vi)
16 / 32
16 / 32
Taking the set of natural numbers as the universal set, write down the complements of the following sets:
(vi) {x : x is a perfect square}
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Answer
1
Find the complement of the given set by finding the elements of the universal set of numbers that are not elements of the given set.
Answer: {x : x $∈$ N, x is not a perfect square}
Reason: Natural numbers can be classified as either perfect squares{math_tip:def_perfect_square} or non-perfect squares. Therefore, after removing the perfect squares, only numbers that are not perfect squares remain.