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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.
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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