Chapter 1: Sets

Exercise

Question

Question: 4 (i)

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Write the following sets in the set-builder form:

(i) {3, 6, 9, 12}

Answer

1
Identify the pattern in the given set. Then express the pattern using a suitable condition on the variable n.
The given set consists of multiples of 3, starting from 3 x 1 and ending at 3 x 4.
Therefore, each element can be written as x = 3n, where 1 $≤$ n $≤$ 4
2
Write the set in set-builder form using the condition on the number n.
Answer: {x : x = 3n, n $∈$ N, 1 $≤$ n $≤$ 4}
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