HSC Arts 12th Board ExamMaharashtra State Board
Share
Notifications

View all notifications

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

Login
Create free account


      Forgot password?

Question

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`

  Is there an error in this question or solution?

APPEARS IN

 2013-2014 (March) (with solutions)
Question 2.1.3 | 3.00 marks
Solution Using truth table prove that : ~p∧q≡(p∨q)∧~p Concept: Mathematical Logic - Truth Tables of Compound Statements.
S
View in app×