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

Write the following statement in symbolic form. It is not true that “i” is a real number.

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प्रश्न

Write the following statement in symbolic form.

It is not true that “i” is a real number.

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उत्तर

Let p : i is a real number.

The symbolic form is ~ p.

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पाठ 1: Mathematical Logic - Exercise 1.4 [पृष्ठ १०]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 1 Mathematical Logic
Exercise 1.4 | Q 1.2 | पृष्ठ १०

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संबंधित प्रश्‍न

Using the truth table, prove the following logical equivalence :

p ↔ q ≡ (p ∧ q) ∨ (~p ∧ ~q)


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∼ (∼p ∧ ∼q) ∨ q


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Write the negation of the following statement.

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If p and q are true and r and s are false, find the truth value of the following compound statement.

(p → q) ∨ (r ∧ s) 


If p and q are true and r and s are false, find the truth value of the following compound statement.

~ [(~ p ∨ s) ∧ (~ q ∧ r)]


Assuming that the following statement is true,

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If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement.

q ∧ ~ p


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r : Sachin is happy.
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p → r


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Write the negation of p ↔ q.


Using truth table prove that:

~ (p `leftrightarrow` q) ≡ (p ∧ ~ q) ∨ (q ∧ ~ p)


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