Home
Class 12
MATHS
Verify that the statement P vee ~( p ^^ ...

Verify that the statement `P vee ~( p ^^ q)` is a tautology.

A

Statement 1 and statement 2 are both false

B

Statement 1 and staement 2 are both true

C

statement 1 is true and statement 2 is false

D

statement 1 is false and statement 2 is true

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Observe the following statements Statement - I : p vv ~(p ^^ q) is a tautology Statement - II : A statement pattern is called a tautology, if it is always true, whatever may be the true value of constitute statements.

The statement p vv q is

Prove by construction of truth table that p vv ~ (p ^^q) is a tautology

The statement ~(p ^^ q) vv q

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

Given the following two statements S_(1) : (p ^^ : p) rarr (p ^^ q) is a tautology. S_(2) : (p vv : p) rarr (p vv q) is a fallacy

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

For any statements p, show that . (i) p vee ~ p is a tautology , ( ii) p ^^ ~ p is a contradiction

The statement p to(q to p) is equivalent to

Let p and q be any two propositons Statement 1 : (p rarr q) harr q vv ~p is a tautology Statement 2 : ~(~p ^^ q) ^^ (p vv q) harr p is fallacy