Home
Class 12
MATHS
Using truth table show that - (p vv q) v...

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

A

~p

B

p

C

q

D

~ q

Text Solution

Verified by Experts

The correct Answer is:
A
we have,
` ~ ( p vv q) vv ( ~ p ^^ q) cong ( ~ p ^^ ~ q) vv ( ~ p ^^ q) `
` cong p ^^ ( ~ p ^^ q)`
` cong ~ p ^^ ( ~ q vv q)`
` cong p ^^ t` , where t is a tauology ,
`cong ~ p `
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA ENGLISH|Exercise Solved MCQs|5 Videos

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|3 Videos

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA ENGLISH|Exercise illusration 3|1 Videos

  • MATHEMATICAL INDUCTION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|30 Videos

  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

p to q is logically equivalent to

p ^^ ( q ^^ r) is logically equivalent to

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

The proposition ~(p vv ~q) vv ~(p vv q) is logically equivalent to

The compound statement (prarr ~q)vv(p^^q) is logically equivalent to

The compound statement (prarrq)vv (p^^~q) is logically equivalent to

Using truth table, prove that : ~[(~p) wedge q] is logically equivalent to p vee (~q) .

The compound statement (phArr q)vv(p hArr ~q) is logically equivalent to

construct truth table for (p vv q)vv(r ^^ ~q)

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