express the following in set builder form (i) the set of even integers between 13 and 26 (ii) the set of factors of 21 (iii) the set of odd natural number
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i) the set of even integers between 13 and 26 (ii) the set of factors of 21 (iii) the set of odd natural number
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1 ) 14, 16, 18, 20, 22, 24
2) Factors of 21: 1, 3, 7 and 21
Negative Factors of 21: -1, -3, -7 and -21
Prime Factors of 21: 3, 7
Prime Factorization of 21: 3 × 7 = 3 × 7
Sum of Factors of 21:32
3 )
N = Natural numbers
= Set of all numbers starting from 1 → Statement form
= Set of all numbers 1, 2, 3, ………..
= {1, 2, 3, …….} → Roster form
= {x :x is a counting number starting from 1} → Set builder form
Therefore, the set of natural numbers is denoted by N i.e., N = {1, 2, 3, …….}
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