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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

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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प्रश्न

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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उत्तर

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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पाठ 1: Mathematical Logic - Exercise 1.2 [पृष्ठ ६]

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