3. If p is true, c (F), or if you true or false, Statement Truth V pVr T F

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. If p is true, q is false, and r is false, determine the whether the compound statement is true (T), false
(F), or if you can't tell because you need more information (N). The statement w is not known to be
true or false, so you may be able to still make a conclusion without knowing its value.
Statement Truth Value Explanation
pVr
qw
wAq
p^w
TFN
T F N
T F N
TFN
4. Construct a truth table for the statement, then determine if its a tautology. (p^r) ^ (~pVg)
4
Transcribed Image Text:3. If p is true, q is false, and r is false, determine the whether the compound statement is true (T), false (F), or if you can't tell because you need more information (N). The statement w is not known to be true or false, so you may be able to still make a conclusion without knowing its value. Statement Truth Value Explanation pVr qw wAq p^w TFN T F N T F N TFN 4. Construct a truth table for the statement, then determine if its a tautology. (p^r) ^ (~pVg) 4
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