Maharashtra State BoardHSC Arts 12th Board Exam
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Using truth table prove that : ~p∧q≡(p∨q)∧~p - Mathematics and Statistics

Using truth table prove that :

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

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Solution

1 2 3 4 5 6
p q ~p

`~p^^q`

`pvvq`

`(pvvq)^^~p`

T T F F T F
T F F F T F
F T T T T T
F F T F F F

 

Column (4) and (6) are identical truth value

`therefore ~p^^q-=(p vv q)^^~p`

Concept: Mathematical Logic - Truth Tables of Compound Statements
  Is there an error in this question or solution?
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