Chapter 1.1, Problem 33E

Construct a truth table for each of these compound propositions.

a) $p\wedge \neg p$

b) $p\vee \neg p$

c) $\left(p\vee \neg p\right)\to q$

d) $\left(p\vee q\right)\to \left(p\wedge q\right)$

e) $\left(p\to q\right)\leftrightarrow \left(\neg q\to \neg p\right)$

f) $\left(p\to q\right)\to \left(q\to p\right)$