Construct a truth table for each of these compound propositions.

a) \(p \rightarrow(\neg q \vee r)\)

b) \(\neg p \rightarrow(q \rightarrow r)\)

c) \((p \rightarrow q) \vee(\neg p \rightarrow r)\)

d) \((p \rightarrow q) \wedge(\neg p \rightarrow r)\)

e) \((p \leftrightarrow q) \vee(\neg q \leftrightarrow r)\)

f) \((\neg p \leftrightarrow \neg q) \leftrightarrow(q \leftrightarrow r)\)

Equation Transcription:

Text Transcription:

P right arrow (neg q vee r)

Neg p right arrow (q right arrow r)

(p right arrow q) vee (neg p right arrow r)

(p right arrow q) wedge (neg p right arrow r)

(p left right arrow q) vee (neg q left right arrow r)

(neg p leftrightarrow q) leftrightarrow (q leftrightarrow r)

Solution:

Step 1

In this problem we need to construct truth table for each of the given compound

propositions.