Chapter 1: Sets

Exercise

Question

Question: 3 (x)

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

(x) {x : x ≥ 7}

Answer

1
Find the elements of set by using the set of numbers and applying the given condition.
Given set = {7, 8, 9,$...$}
2
Find the complement of the given set by finding the elements of the universal set of natural that are not elements of the given set.
Answer: {x : x $∈$ N, x $<$ 7}
Reason: The given set contains all natural numbers that are greater than or equal to 7. Therefore, its complement consists of all natural numbers that are less than 7.
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