Answered

Use the list method to write "The odd integers between 2 and 15."

A. [tex]$\{2,3,5,7,9,11,13,15\}$[/tex]
B. [tex]$\{3,5,7,9,11,13\}$[/tex]
C. [tex]$\{3,5,7,9,11,13,15\}$[/tex]



Answer :

GinnyAnswer
To identify the odd integers between 2 and 15, follow these steps:

1. Identify the Range:
The range to consider is from just above 2 to 15. That means we are looking at the numbers from 3 to 15.

2. Determine if Each Number is Odd:
A number is considered odd if it is not divisible by 2 (i.e., it leaves a remainder of 1 when divided by 2). Let's check each number in the range 3 to 15:

- 3: Odd (3 % 2 = 1)
- 4: Even (4 % 2 = 0)
- 5: Odd (5 % 2 = 1)
- 6: Even (6 % 2 = 0)
- 7: Odd (7 % 2 = 1)
- 8: Even (8 % 2 = 0)
- 9: Odd (9 % 2 = 1)
- 10: Even (10 % 2 = 0)
- 11: Odd (11 % 2 = 1)
- 12: Even (12 % 2 = 0)
- 13: Odd (13 % 2 = 1)
- 14: Even (14 % 2 = 0)
- 15: Odd (15 % 2 = 1)

3. List the Odd Integers:
Collecting all the odd numbers, we get the list:
3, 5, 7, 9, 11, 13, and 15

Thus, the odd integers between 2 and 15 are:
[tex]\(\{3, 5, 7, 9, 11, 13, 15\}\)[/tex]