MTH202 - Assignment 1 of 2018

It is requested to please if you find and mistake please comment so that it can be corrected.

Solution:

Q#1: Use the truth table to test the validity of the following argument:

If you invest in the DEF Bank, then you get rich.

You didn’t invest in the DEF.

Therefore, you didn’t get rich.                                                                     Mark=5

Answer:

  

Step 1:

First symbolize the argument.

Let a be the argument “you invest in the DEF.”

Let b be the argument “you get rich.”

Then the argument has this symbolic form.

Step 2:

Make a truth table having a column for each premise and for the conclusion.

a	b		:a	:b
T	T	T	F	F
T	F	F	F	T
F	T	T	T	F
F	F	T	T	T

Step 3:

Interpret the truth table.

Notice that in the third row, the conclusion is FALSE while both premise are TRUE.

This tells us the argument is INVALID.

Q#2: Prove that the statement    is tautology.

                                                                                                                        Mark=5

  

p	q	~p	~q
T	T	F	F	T	F	T
T	F	F	T	F	F	T
F	T	T	F	T	F	T
F	F	T	T	T	T	T

Hence,

 = ‘t’

All truth value of statement is equal to ‘t’

So it tautology