1. Show (using a truth table) that the following argument holds p V q ~p V r The
ID: 3648943 • Letter: 1
Question
1. Show (using a truth table) that the following argument holdsp V q
~p V r
Therefore q V r
2. Given the following, first identify the different propositions (label them as p, q, ...). Then,
write this argument using the propositional notations. Using both a truth table and rules of inference,
check if the result holds.
If interest rates are low, then housing prices will be up.
If housing prices are up, then marriage rate will be high.
Whenever interest rates are low, the economy is good.
However, the economy is not good.
Therefore Marriage rates must be low.
Explanation / Answer
p q r p V q ~p ~p V r q V r
............................................
T T T T F T T
T T F T F F T
T F T T F T T
T F F T F F F
F T T T T T T
F T F T T T T
F F T F T T T
F F F F T T F
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