Write the negative of the compound propo...

Write the negative of the compound proposition `p vv(~pvvq)`

A

`(p^^~q)^^~p`

B

`(p^^~p)vv~q`

C

`(pvv~q)vv~p`

D

`(p^^~q)vv~p`

Verified by Experts

The correct Answer is:

A

`~(pvv(~pvvq))`
`=~p^^(~(~pvvq))=~p^^(p^^~q)`

MOCK TEST 1
VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|10 Videos
MATRICES AND DETERMINANTS
VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|78 Videos
MOCK TEST 10
VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

Similar Questions

Explore conceptually related problems

Construct the truth table for the compound proposition (~pvvq)

Construct the truth table for the compound proposition q rArr [~pvvq]

The negation of the compound propositions p harr ~q is logically equivalent to

Write the negative of the proposition : "If a number is divisible by 15, then it is divisible by 5 or 3".

Write the contrapositive statement of the proposition p to ~q

The negation of the propostion q vv ~ ( p ^^ r) is

The proposition p to ~ (p^^~ q) is

The inverse of the proposition ( p ^^ ~ q) to s

Write the negation of the following compound statement: Square of an integer is positive or negative.

Write down the truth table for the compound statements : (~pvvq)^^(~p^^~q)