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Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”

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प्रश्न

Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”

योग
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उत्तर

Let p: An angle is a right angle.

q: An angle is of measure 90°.

∴ The symbolic form of the above Statement is p ↔ q.

∼ (p ↔ q) ≅ (p ∧ ∼ q) ∨ (q ∧ ∼p).

∴ The negation of the given statement is ‘An angle is right angle and it is not of measure 90° or an angle is of measure 90° and it is not right angle.

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अध्याय 1.1: Mathematical Logic - Long Answers II

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