Mathematics Homework Solutions

Set Builder Notations

Using correct mathematical notation and symbols, express the following in set builder notation: Z = {17, 18, 19, 20, 21, 22, 23, 24, 25}

Venn Diagram

74 people watched movies on VHS tapes 123 people watched movies on DVDs. 27 people watched movies both on VHS tapes and DVDs. Create a Venn diagram to reflect the above data, label your diagram clearly. And. Use your diagram to answer the following questions here. i. Of those surveyed, how many watched only VHS tapes? ...continues

Set Notation

Given U = {15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25}, A = {16, 18, 20, 22}, and B = {17, 19, 20, 23, 24}. Find A′ B′. Do not skip to the answer. Show your work, finding A’, then B’ then find their union. (Points: 3)

Set Builder Notation

Using correct mathematical notation and symbols, express the following in set builder notation: Z = {17, 18, 19, 20, 21, 22, 23, 24, 25}

Truth Tables

# 1 Construct a truth table for the statement ~ (~ p <-> q) #2 Construct a truth table for the statement: ~ q <-> p

EQUIVALENT

Determine which, if any, of the three statements are equivalent. I) If there is an opera performance, then Paula will not wear jeans. II) If there is no opera performance, then Paula will wear jeans. III) Either there is an opera performance or Paula will wear jeans. (Points: 3) I, II, and III are equivalent ...continues

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