MATH202 GDB No 1 Solution Fall 2017

MATH202 GDB No 1 Solution Fall 2017:

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MATH202 GDB No 1 Complete Solution Fall 2017:

GDB No.1

Fall – 2017

MATH202

Complete Solution

(a)    Let p = I go to school

               q = I study Math’s.

Then translate the following symbolic expression into English statements.

~ (p ^ q) v (p ^ ~ q) v (~ p ^ q)

Solution:     

(p^q) = i go to school and i study math’s

~(p^q) = it is not true that i go to school and study math’s.

(p ^ ~q) = i go to school and i do not study math’s.

(~p ^ q) = i do not go to school but i study math’s.

~ ( p ^ q ) v ( p ^ ~ q ) v ( ~ p ^ q )    =   it is not true that I go to school and study math’s either I go to school and do not study math’s or I do not go to school but I study math’s.

(b)    Let p = True, q = False

         Then find the Truth value of    ( p ^ ~ q ) v ( ~ p ^ q )

Solution:

p	q	~p	~q	(p ^ ~q)	(~p ^q)	( p ^ ~ q ) v ( ~ p ^ q )
T	F	F	T	T	F	T
T	F	F	T	T	F	T
F	T	T	F	F	T	T
F	T	T	F	F	T	T

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