P vv(9nn gamma)-=(P vv a)nn(PY gamma)

Answer the following questions Using truth table prove that p vv (q ^^ r) -= (p vv q) ^^ (p vv r)

" The dual of statement p vv(q^^r)-=(p vv q)^^(p vv r) is "

let (i) (p vv q)^^(p vv sim q),(ii)(p^^q)^^(q vv sim q),(iii).(p vv q)^^(p vv sim q),(iv)(p vv q)vv(p^^sim q) then which one is tautology

Let p, q, r be three simple statements. Then, ~(p vv q) vv ~ (p vv r) is equal to a) (~p) ^^ (~q vv ~ r) b) (~p) ^^ (q ^^ r) c) p ^^ (q vv r) d) p vv (q ^^ r)

Prove that the statements [(~p) vv q] ^^[p vv (~r)]^^[(~p)vv (~q)] and ~(p vv r) are logicaly equivalent.

The proposition ~(p vv ~ q)vv ~(p vv q) is logically equivalent to

The proposition ~(p vv ~q) vv ~(p vv q) is logically equivalent to