Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 3 - Logic - Chapter 3 Test: 18

Answer

Converse: "If I cannot concentrate, then the radio is playing." Inverse: "If I the radio is not playing, then I can concentrate."

Work Step by Step

RECALL: (1) The converse of $p \longrightarrow q$ is $q \longrightarrow p$. (2) The inverse of $p \longrightarrow q$ is $\neg p \longrightarrow \neg q$. The given statement has: $p$: The radio is playing. $q$: I cannot concentrate. Thus, the given statement is its: Converse: "If I cannot concentrate, then the radio is playing." Inverse: "If I the radio is not playing, then I can concentrate."
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