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 diagr
am.
2 answers:
Answer:
Venn diagram is attached below.
Step-by-step 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.
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