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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 and stocks are rising if and only if stock prices are high.
Solution
The symbolic form of the given statement is
(p ∧ q) ↔ p.
∴ (p ∧ q) ↔ p ≡ (T ∧ T) ↔ T
≡ T ↔ T
≡ T
Hence, truth value is T.
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