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Write the truth value of the following statement. A quadratic equation has two distinct roots or 6 has three prime factors.

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Question

Write the truth value of the following statement.

A quadratic equation has two distinct roots or 6 has three prime factors.

Short/Brief Note
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Solution

Let p : A quadratic equation has two distinct roots.

q : 6 has three prime factors.

The truth values of p and q are F and F respectively.

The given statement in symbolic form is p ∨ q.

∴ p ∨ q ≡ F ∨ F ≡ F

∴ Truth value of the given statement is F.

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Chapter 1: Mathematical Logic - Exercise 1.2 [Page 6]

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