Note below argument If I have the funds I will buy auto insu

Note below argument: If I have the funds, I will buy auto insurance. I didn’t buy auto insurance. Therefore, I didn’t have the funds. Prove the following argument is valid or invalid, using a truth table, and note which rows are the “Critical rows.” Python

Solution

If I have the funds, I will buy auto insurance.
I didn’t buy auto insurance. Therefore, I didn’t have the funds

Step1:
Symbolize arguement..
Let P the statement \"I have the funds\"
Let Q the statement \"I will buy the auto insurance\"

Then statement in symbolic form:
p -> q
~p
---------
~q

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Making truth table...


p q p->q ~p ~q
T T T F F
T F F F T
F T T T F
F F T T T

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Step3
By intrepreting table ..
The 3th row, conclusion is False where noth premises (p->q) and ~q are true.
So this tells that arguement is INVALID