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Question
Assuming the following statement.
p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.
Stock prices are high or stocks are not rising iff stocks are rising.
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Solution
The symbolic form of the given statement is (p ∨ ~q) ↔ q.
∴ (p ∨ ~q) ↔ q ≡ (T ∨ ~T) ↔ T
≡ (T ∨ F) ↔ T
≡ T ↔ T
≡ T
Hence, truth value is T.
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