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Question
Determine the truth value of the following statement.
x + y = 0 is the equation of a straight line if and only if y2 = 4x is the equation of the parabola.
Solution
Let p : x + y = 0 is the equation of a straight line.
q : y2 = 4x is the equation of the parabola.
The truth values of p and q are T and T respectively.
The given statement in symbolic form is p ↔ q.
∴ p ↔ q ≡ T ↔ T ≡ T
∴ Truth value of the given statement is T.
Notes
The answer in the textbook is incorrect.
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