Show that (i) `~(p wedge q) -= ~p vee ~q`
(ii) `~(p to q) -= p wedge~q`.

Show that ~(p ltimplies q) -= p ltimplies ~q

Show that ~(p harr q) -= ( p ^^ ~q) vv(~p ^^q) .

Prove that ~(~pto ~q) -=~p ^^q

Let p: Jupiter is a planet and q: India is an island be any two simple statements. Give verbal sentence describing each of the following statements: (i) ~p (ii) p wedge ~ q (iii) ~p vee q (iv) p to ~q (v) p ltimplies q

The proposition p wedge (~p vee q) is

The Boolean expression ((p wedge q) vee (p vee ~q)) wedge (~p wedge ~q) is equivalent

Show that ( p ^^ q) to (p vv q) is a tautology.

Find the truth values of (i) ~ p to q " " (ii) ~ ( p to q)

Show that p vee (q wedge r) is a contingency.

Prove that p to (~q vee r) -= ~p vee (~q vee r) using truth table.