Home
Class 12
MATHS
Write the negation of each of the follow...

Write the negation of each of the following statements (1) `p^^(qtor)` (2) `~pvv(qto~r)` (3) `(~pvv~q)^^(p^^~q)`.

Text Solution

Verified by Experts

The negation of `p^^(qtor)` is
`~[p^^(qtor)]" "` (Negation of conjunction)
`-=~pvv~(qtor)" "` (Negation of implication)
(2) The negation of `~pvv(qto~r)` is `~[p^^(qtor)]`
`-=~pvv~(qtor)" "` (Negation of disjunction)
`-=~[(~p)^^(q^^~(~r)]" "` (Negation of impliction)
`-=p^^(q^^r)" "` (Negation of negation)
(3) The negation of `(~pvv~q)^^(p^^~q)` is
`~[(~pvv~q)^^(p^^~q)]`
`-=~(~pvv~q)vv~(p^^~q)`" "` (Negation of conjunction)
`-=[~(~p)^^~(~q)]vv[~pvv~(~q)]" "` (Negation of disjunction and Negation of conjunction)
`-=(p^^q)vv(~pvvq)" "` (Negation of negation)
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL LOGIC

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE 2 OR 3 MARKS EACH|24 Videos
  • MATHEMATICAL LOGIC

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE 3 MARKS EACH|4 Videos
  • LINEAR PROGRAMMING

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE|8 Videos
  • MATRICES

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|12 Videos

Similar Questions

Explore conceptually related problems

Construct the switching circuit for each of the following statements : (1) (p^^q)vv(~p)vv(p^^~q) (2) (p^^q^^r)vv[~pvv(^^~r)] (3) [pvv(~p^^q)]vv[(~q^^r)vv~p]

Prepare truth tables for the following statements : (1) (p^^q)to(~P) (2) ~(~p^^~q)vvq (3) pto[~(q^^r)]

The following statement (p to q) to [(~p to q) to q] is

Write the negation of the statement : (p ⇒ q) ∧ r

The negation of p vv ~ q is

Find the truth values of the following compound statements : (a) (pvv~r) ^^(qvv~r) " " (b) ~ (pvv~q) ^^(~ pvvr)

Prepare truth tables for the following statements : (1) pto(qto""p) (2) [(ptoq)^^q]to""p (3) (ptoq)iff(~pvvq) (4) (qto""p)vv(~p""iffq) (5) (p""iffr)^^(qiffp) .