Home
Class 12
MATHS
Show that [(pvvq)vvr] harr [pvv(qvvr)] i...

Show that `[(pvvq)vvr] harr [pvv(qvvr)]` is a tautology

Text Solution

Verified by Experts

Truth table of `[(pvvq)vvr] harr [pvv(qvvr)]`

Thus, for all possible truth values of p,q and r , the compound statements : `[pvvq)vvr] harr [pvv(qvvr)]` is true.
`:. [(pvvq)vvr] harr [pvv(qvvr)]` is a tautology.
Promotional Banner

Topper's Solved these Questions

  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise concept application|13 Videos

  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Single correct answer type|38 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise JEE ADVANCED|1 Videos

  • MATRICES

    CENGAGE PUBLICATION|Exercise All Questions|509 Videos

Similar Questions

Explore conceptually related problems

Show that [(ptoq)^^(qto r)] to ( p to r) is a tautology

Show that (i) p to (pvvq) is a tautology (ii) (pvvq) ^^(~ p ^^~q) is a contradiction

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

~(pvv(~pvvq)) is equal to

consider : Statement - I : (p^^~q)^^(~p^^q) is a fallacy . Statement -II : (prarrq)harr(~qrarr~p) is a tautology .

Prove that the statement - ~(pharr q) harr {(p^^~q) vv (~p^^q)} is a tautology.

Statements -1 : ~(pharr~q) is equivalent to p harr q Statement-2: ~( p harr ~q) is a tautology.

Show that (pvvq) to r -= (p to r) ^^ (q to r)

If q is false and (p^^q) harr r is also true then which of the following are tautology

Consider the statements p , q and r Statement - I : Negation of statement p^^(qvvr) " is " ~pvv(~q^^~r) Statement - II : Negation of pvvq" is "(~p)^^(~q), and " negation of "p ^^q " is " (~p)vv(~q)