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Question
Write the negation of the following.
An angle is a right angle if and only if it is of measure 90°.
Solution
Let p : An angle is a right angle.
q : An angle is of measure 90°.
The given statement is p ↔ q.
Its negation is ~(p ↔ q) ≡ (p ∧ ~ q) ∨ (q ∧ ~ p)
∴ The negation of the given statement is ‘An angle is a right angle and it is not of measure 90° or an angle is of measure 90° and it is not a right angle.’
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