Home
Class 12
MATHS
If the statements p and q are true and t...

If the statements p and q are true and the statement r is false, find the truth values of the following :
(1) `~p^(iff)(~q^^r)` (2) `~q^^(ptoq)` (3) `pvv(~q""iffr)`

Text Solution

Verified by Experts

(1) `~p^(iff)(~q^^r)-=~Tiff(~T^^F)-=Fiff(F^^F)-=FiffF-=T`
(2) `~q^^(ptoq)-=~T^^(TtoT)-=F^^T-=F`
(3) `pvv(~qiffr)-=Tvv(~TiffF)-=Tvv(FiffF)-=TvvT-=T`.
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

If the statement p and q are true and the statements r and s are false, fing the truth values of : (1) (~pvvq)to(s^^~r) (2) [p^^(q^^r)]vv[(pvvq)^^(~rvvs)] (3) ~[(~p^^r)vv(sto~q)]iff(p^^r) .

If the statements p and q are true and the statement r and s are false, find the truth values of : (1) ~[(pvvq)^^~r]^^{[(~pvvq)vv(~r)]vvs} (2) p^^[q^^(~p^^r)vv~s]vv~r .

If p and q are true and r and s are false statements, then which of the following is true?

If the statement p and q have truth values T and F respectively, fing the truth values of : (1) pto~q (2) qto~p (3) (~ptoq)^^(~q) .

Attempt the following If statements p, q are true and r, s are false, determine the truth values of the following. (a) ~ p ^^ (q vv ~ r) (b) (p ^^ ~r) ^^ (~q vv s)

Find the truth values of (i) ~(Pvv~q)" " (ii) ~(~p^^~q)

For two statements p and q, the statement ~(pvv(~q)) is equivalent to

If p, q, r are the statements with truth values T, F, T respectively, determine the truth values of the following : (1) ~(r^^~q)vv(p^^~r) (2) (r^^q)iff(~q) .

If statements p.q. are both true and r,s, are both false, then indicate the truth -value of the compound statement ~q^^(rtoq)