MTH - 202 Assignment No 1 Solution
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Explanation of Solution:
Question 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.
Solution:
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
p → q
~ p
Here you Notice that
in 3rd row, the conclusion is
FALSE while both premises are TRUE.
This tells us the
argument is INVALID.
Question 2:
Prove that the
statement ~q^(pà q) à ~p is
tautology.
Solution:
Hence,
~ q ^ (p → q) → ~ p =
‘t’
All truth value of
statement is equal to ‘t ’
So it is tautology.
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