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Sets and Venn Diagrams explained in this answer

1. Given the following sets, select the statement below that is NOT true.
A = {s, i, r}, B = {r, i, s, e}, C = {r, i, s, k, e, d}
A ⊆ B
A ⊂ B
C ⊂ B
A ⊂ C
B ⊆ C

2. An electronics store surveyed every 9th customer who came onto the store for a week.
Of the 185 people who responded,

76 people watched movies on VHS tapes
126 people watched movies on DVDs.
23 people watched movies both on VHS tapes and DVDs.

Create a Venn diagram to reflect the above data, Use your diagram to answer the following questions here.

i. Of those surveyed, how many watched only VHS tapes?
ii. Of those surveyed, how many watched only DVDs?
iii. Of those surveyed, how many watched VHS tapes or DVDs, but not both?
iv. Of those surveyed, how many watched VHS tapes or DVDs, or both?

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The solution is comprised of detailed step-by-step calculation and explanation of the various problems related to Sets and Venn Diagrams. This solution provides students with a clear perspective of the underlying mathematical concepts and drawing of Venn Diagrams.

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