Chapter 1: Sets

Exercise

Question

Question: 3 (iii)

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Taking the set of natural numbers as the universal set, write down the complements of the following sets:

(iii) {x : x is a positive multiple of 3}

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 multiple of 3}
Reason: Natural numbers can be classified as either multiples of 3 or non-multiples of 3. Therefore, after removing the multiples of 3, only numbers that are not multiples of 3 remain.
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