Check whether the following pairs of formulas are equivalent by constructing truth tables. For each formula, also state whether it is tautologous, inconsistent or contingent. a. -P v Q, P → Q b. ~(P > Q) , (P & ~Q) v (~P & Q) C. ~P & Q, ~Q & P d. ~(P→~Q) , ~(Q→~P)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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plz do all 4 subparts asap  bcz i can't upload only three ..thnx 

Check whether the following pairs of
formulas are equivalent by constructing
truth tables. For each formula, also state
whether it is tautologous, inconsistent or
contingent.
а.
-P v Q, P → Q
b.
-(P +> Q) , (P & ~Q) v (~P & Q)
C. ~P & Q , ~Q & P
d. ~(P→~Q) , ~(Q→~P)
Transcribed Image Text:Check whether the following pairs of formulas are equivalent by constructing truth tables. For each formula, also state whether it is tautologous, inconsistent or contingent. а. -P v Q, P → Q b. -(P +> Q) , (P & ~Q) v (~P & Q) C. ~P & Q , ~Q & P d. ~(P→~Q) , ~(Q→~P)
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