Question

the set of odd numbers from 1 to 20

Answer 1

Answer:

The odd numbers from 1 to 20 are: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19.

Step-by-step explanation:

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Answer 2

The set of odd numbers can be defined as S = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}

Given:

Range: 1 to 20

To find:

Set of odd numbers within the range

Solution:

We know that,

Odd numbers are those that can be written in the form (2n ± 1), n∈N

Range = [1, 20]

To find odd numbers within the range, we put values of n

n = 1 ⇒ 2n + 1 = 1

n = 2 ⇒ 2n ± 1 = 3, 5

n = 3 ⇒ 2n ± 1 = 5, 7

n = 4 ⇒ 2n ± 1 = 7, 9

n = 5 ⇒ 2n ± 1 = 9, 11

n = 6 ⇒ 2n ± 1 = 11, 13

n = 7 ⇒ 2n ± 1 = 13, 15

n = 8 ⇒ 2n ± 1 = 15, 17

n = 9 ⇒ 2n ± 1 = 17, 19

⇒List of odd numbers from 1 to 20 = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19

Now,

Let set of odd numbers from 1 to 20 be defined as S.

⇒ S = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}

∴ The set of odd numbers can be defined as S = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}

SPJ2