Let p,q,r be the statements p: X is a rectangle, q: x is a square, `r:p to q` Show that `p to r` is not a tautology.

Let p, q and r be three statements, then (p to q) to r is equivalent to

Show that (p^^q)vv(~p)vv(p^^~q) is a tautology

Let p,q r be three statements such that the truth value of (p ^^ q) to (q vv r) is F. Then the truth value of p,q r are respectively :

The statement (p^^(p to q) ^^ (q to r)) to r is

Statement-1 : ( p ^^ ~ q) ^^ (~ p ^^ q) is a facllocy. Statement -2: ( p to q) harr ( ~ q to ~ p) is a tautology .