Chapter 1: Sets
Chapter 1: Sets
Exercise
Question
Question: 4 (iv)
25 / 33
25 / 33
Write the following sets in the set-builder form:
(iv) {2, 4, 6,...}
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Answer
1
Identify the pattern in the given set. Then express the pattern using a suitable condition on the variable n.
The given set represents the even natural{math_tip:def_natural_number} numbers, where each element is obtained by multiplying a natural number by 2.
Therefore, each element can be written as x = 2n. Since no upper limit is specified, the set continues indefinitely.
2
Write the set in set-builder form using the condition on the number n.
Answer: {x : x = 2n, n $∈$ N} or {x : x is an even natural number}