Sets and venn diagrams


Assignment:

Q1. 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

Q2. 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?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Sets and venn diagrams
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