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23 Maths -- Sets, Real Number System and Logic

Construct a truth table for (~p)^q (~p) v (~q)~(p^q)~[p v (~q)]

Construct a truth table for 


  1. (~p)^q 

  2. (~p) v (~q)

  3. ~(p^q)

  4. ~[p v (~q)]

2. sol:

p

q

                ~p

~q

~p v (~q)

T

T

F

F

T

F

T

F

F

F

T

T

F

T

T

F

F

T

T

T

3. sol:

p

q

p^q

~p^q

T

T

F

F

T

F

T

F

T

F

F

F

F

T
T

T

4, sol:

p            

q

                ~q

p v (~q)

-[p v (~q)]

T

T

F

F

T

F

T

F

F

T

F

T

T

T

F

T

F

F

T

F

1. sol:

P

q

                ~p

~p ^ q

T

T

F

F

T

F

T

F

F

F

T

T

F

F

T

F

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