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# Assignment 1 Of MTH202 (Fall 2013)

Maximum Marks: 20

Due Date:27 -11-2013

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Question No. 1:

Determine whether the following statement is logically equivalent by using a truth table and include a sentence to justify your answer.

Question No. 2:

Show that

Where , ,  and .

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### Replies to This Discussion

Question 2 me kya krna hy

unoin and intersection phir complement nickalna ha

Let p = Ali is unfit.

Q = Saleem is injured.

p ^ q = Ali is unfit and Saleem is injured.

~p    = Ali is not unfit.

~p v q =Ali is not unfit or Saleem is injured.

~ (~p v q) = Ali is unfit or Saleem is not injured.

(P ^ (~ (~ p v q))) =Ali is unfit and Ali is unfit or Saleem is not injured.

(P ^ (~ (~ p v q))) = Ali is unfit or Saleem is not injured.

(P ^ (~ (~ p v q))) v (p ^ q) =Ali is unfit or Saleem is not injured or Ali is unfit and Saleem is injured.

(P ^ (~ (~ p v q))) v (p ^ q) =Ali is unfit.

Ya thek ha?

bhi truth table 1st page py bana hoa ha

after row 6 i can not agree with you i think you are worng

kis ka ans khalt ha

sare.

truth table to teek hai...

~p v q =Ali is not unfit or Saleem is injured.

better write : it is not true that Ali is not unfit or saleem is injured

(P ^ (~ (~ p v q))) =Ali is unfit and Ali is unfit or Saleem is not injured.

better write : Ali is unfit and it is not true that Ali is not unfit or saleem is not injured

(P ^ (~ (~ p v q))) v (p ^ q) =

Ali is unfit and it is not true that Ali is not unfit or saleem is not injured or Ali is unfit and  Saleem is injured

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