# Using truth table prove that : ~p∧q≡(p∨q)∧~p - Mathematics and Statistics

Using truth table prove that :

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

#### 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
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