1

Problem

Use the Venn diagrams you drew in Exercises 1 - 3 to decide whether the statement is true or false. Explain your reasoning. The only positive factors of 12 less than 13 that are not even are 1 and 3.

2

Step

Identify the positive factors of 12:

→ The positive factors of 12 are the numbers that divide 12 without leaving a remainder.

→ The positive factors of 12 are: 1, 2, 3, 4, 6, 12.

3

Step

Identify the factors less than 13:

→ All the positive factors of 12 (1, 2, 3, 4, 6, 12) are already less than 13, so we don’t exclude any factors in this step.

4

Step

Identify the even factors:

→ Even factors among the positive factors of 12 are: 2, 4, 6, 12.

5

Step

Identify the factors that are not even:

→ The factors of 12 that are not even are: 1, 3.

6

Step

State the factors of 12 that are less than 13 and are not even:

→ From the steps above, the factors of 12 that are less than 13 and are not even are: 1, 3.

7

Solution

Therefore, The only positive factors of 12 less than 13 that are not even are 1 and 3 is true.

8

Sumup

Please summarize steps

Choices

9

Choice-A

This option is incorrect because not all options (TRUE and FALSE) are correct

Wrong All the below

10

Choice-B

This option is incorrect because the statement is true

Wrong FALSE

11

Choice-C

This option is correct, as 1 and 3 are the only odd factors of 12 less than 13

Correct TRUE

12

Choice-D

This option is incorrect because the statement cannot simultaneously be true or false

Wrong Both

13

Answer

Option

C

14

Sumup

Please summarize choices