College Math

College Math Study Guide

6.15 Chapter Six Review Answers 1. b Solution: Option b is correct, as per the De Morgan’s rule of logical equivalence; that is, ~ (a ∧ b) is logically equivalent to (~a) ∨ ~b. 2. d Solution: In the case of contrapositive, both the antecedent and consequent interchanges are negated. In this case, the antecedent is “You stay” and consequent is “I leave”. So, they become negative; that is, “You do not stay” and “I do not leave”, and also interchanges the position. Hence, the contrapositive statement becomes: “If I do not leave, then you do not stay.” 3. a Solution: The valid logical argument will be the first statement, as seen from the following Venn diagram:

Hence, option a is correct.

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