Question
1. Construct a truth table for each of these compound propositions. a) p (q r) b) p (q r) c) (p
1. Construct a truth table for each of these compound propositions.
a) p → (¬q ∨ r)
b) ¬p → (q → r)
c) (p → q) ∨ (¬p → r)
d) (p → q) ∧ (¬p → r)
2. . How many rows appear in a truth table for each of these compound propositions?
a) p → ¬p
b) (p ∨ ¬r) ∧ (q ∨ ¬s)
c) q ∨ p ∨ ¬s ∨ ¬r ∨ ¬t ∨ u
3. Write each of these propositions in the form “p if and only if q” in English.
a) For you to get an A in this course, it is necessary and sufficient that you learn how to solve discrete mathematics problems.
b) If you read the newspaper every day, you will be informed, and conversely.
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Advanced Engineering Mathematics
Authors: ERWIN KREYSZIG
9th Edition
0471488852, 978-0471488859
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