MTH202 Assignment solution 2018

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

If you invest in the HBFC, then you get rich.

You didn’t invest in the HBFC.

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

Answer :

  

Step 1:

First symbolize the argument.

Let p be the argument “you invest in the HBFC.”

Let q 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.

                                                                          

P	q
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