Solution Of Assignment 1 Of MTH202 (Spring 2012)
Maximum Marks: 15
Question 1; Mark: 10
Formulate the argument symbolically and test its validity using the truth table. Also
mention the critical row (or rows).
If you finish your home work, then you will sleep early.
If you will sleep early, then you will get up for 8:30am class.
Therefore if you finish your home work, then you will get up for 8:30am class.
Where p = you finish your home work,
q = you will sleep early,
r = you will get up for 8:30am class.
Solution:
Given that
p = you finish your homework,
q = you will sleep early,
r = you will get up for 8:30am class
So,
According to first premise p q
According to second premise q r
And conclusion will be p r
Truth Table:
P Q R P q qr pr
T T T T T T
T T F T F F
T F T F T T
T F F F T F
F T T T T T
F T F T F T
F F T T T T
F F F T T T
Where colored rows represents critical rows and they indicate valid (true)
premises. Therefore the above argument form is valid.
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