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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Write the following compound statements symbolically. Triangle is equilateral or isosceles - Mathematics and Statistics

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प्रश्न

Write the following compound statements symbolically.

Triangle is equilateral or isosceles

बेरीज
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उत्तर

Let p: Triangle is equilateral.

Let q: Triangle is isosceles.

Then the symbolic form of the given statement is p ∨ q.

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पाठ 1.1: Mathematical Logic - Short Answers I

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Using truth table, prove the following logical equivalence:

(p ∧ q) → r ≡ p → (q → r)


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p ↔ q ≡ (p ∧ q) ∨ (~p ∧ ~q)


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(∼ p → ∼ q) ∧ (∼ q → ∼ p)


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(q → p) ∨ (∼ p ↔ q)


Construct the truth table of the following statement pattern.

(p ∨ ∼ q) → (r ∧ p)


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p → (q → p)


Construct the truth table of the following:

∼ (∼p ∧ ∼q) ∨ q


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If triangle is equilateral then it is equiangular.


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find the truth values of the following statements.

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Give the verbal statement for the following symbolic statement.

~ (p ∨ q)


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q : Sachin is a member of Rajya Sabha.
r :
Sachin is happy.
Write the verbal statement of the following.

(p ∧ q) ∨ r


Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.

p → r


Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.

∼ p ∨ q


Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.

(p ∧ q) ∧ ∼ r


Let p : Sachin wins the match.
q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.

∼ (p ∨ q) ∧ r


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(Hint : p → q ≡ ∼ p ∨ q)

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Write the negation of the following statement.

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Write the negation of the following statement.

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The negation of the statement (p ˄ q) `→` (r ˅ ∼ p) is ______.


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‘If two numbers are not equal, then their squares are not equal’.


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