Home
Class 12
MATHS
prove that (p^^q) ^^~(pvvq) is a contrad...

prove that `(p^^q) ^^~(pvvq)` is a contradiction.

Text Solution

Verified by Experts

`(p^^q)^^~(pvvq) -=(p^^q)^^(~p^^~q)`
`-=(p^^~p) ^^(q^^~q)`
`-=f^^f`
`-=f`
thus, `(p^^q)^^~(pvvq)` is fallacy, i.e., contradiction.
Promotional Banner

Topper's Solved these Questions

  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Single correct answer type|38 Videos
  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 Videos
  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 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

(p^^~q)^^(~p^^q) is

Prove that ~((~p)^^q) -=pvv(~q) .

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

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

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

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

~(pvv(~pvvq)) is equal to

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

‘If for any real no x, x^3 + x = 0 , then x =0’ prove this by the method of contradiction

If n is a such real number that n>3 .then n^2>9 prove it by the method of contradiction.