Home
Class 12
MATHS
Show that (p^^q)vv(~p)vv(p^^~q) is a tau...

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

Text Solution

AI Generated Solution

To show that the expression \((p \land q) \lor (\neg p) \lor (p \land \neg q)\) is a tautology, we will use a truth table to evaluate all possible truth values of the variables \(p\) and \(q\). ### Step-by-step Solution: 1. **Identify Variables**: We have two variables, \(p\) and \(q\). 2. **Determine Possible Outcomes**: ...
Promotional Banner

Topper's Solved these Questions

  • MATHMETICAL REASONING

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

    CENGAGE ENGLISH|Exercise Archives|10 Videos
  • MATHMETICAL REASONING

    CENGAGE ENGLISH|Exercise Archives|10 Videos
  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise JEE ADVANCED|1 Videos
  • MATRICES

    CENGAGE ENGLISH|Exercise Single correct Answer|34 Videos

Similar Questions

Explore conceptually related problems

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

Show that (i) ~ [ p ^^ ( ~p) ] is a tautology (ii) ~ [ p vee ( ~ p)] is a contradication.

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

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

Using truth table show that - (p vv q) vv (~ p ^^ q ) is logically equivalent to ~ p.

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

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.

~(pvvq)vv(~p^^q) is equivalent to

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

Show that ( p vee q) ^^ ( ~ p ^^ ~ q) is a contradion .