Question

the universal set in this diagram is the set of integers from 1 to 15. Place the integers in the correct place in the venn diagram.

Answer 1

Hope this helps yall :)

Answer 2

Venn diagram is attached below.

Explanation:

Given numbers are 5, 9, 12, 13, 14, 15.

We have three circles:- A. Factors of 15, B. Odd Integers, C. Multiples of 3.

Let's classify the elements in their respective circles.

A. Factors of 15: {5, 15}

B. Odd Integers: {5, 9, 13, 15}

C. Multiples of 3: {9, 12, 15}

So we have the followings:-

A∩B = {5, 15}

B∩C = {9, 15}

A∩C = {15}

where A∩B∩C = {15}, and (A ∪ B U C)' = {14}

Also 13 belongs to only B, and 12 belongs to only C.

Venn diagram is attached below.