College Math

College Math Study Guide

4. c Solution: Let us take each option to judge whether they give rise to a logical conclusion. In first the case, I love to buy expensive things and I bought latest Apple iPhone in the market, have no relationship to conclude that Apple iPhone is the most expensive phone. The second case also gives an invalid argument since it is not known whether or not the Apple iPhone is the most expensive. The fourth premise is also false since there is no clue given about Samsung phones. The third premise is true, since it connects the two statements: the Apple iPhone is the most expensive and I bought it, hence it can be concluded that I bought the most expensive phone. 5. d Solution: Let us draw a Venn diagram to understand the situation better.

We must find, n(F) = 45, and we have to find out n(F) – n(F ∩ M) – n(F ∩ H) + n(F ∩ M ∩ H) = 45 – 15 – 18 + 7 = 19

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