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

Express the following statement in symbolic form. I like playing but not singing.

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प्रश्न

Express the following statement in symbolic form.

I like playing but not singing.

एका वाक्यात उत्तर
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उत्तर

Let p: I like playing.

q: I do not like singing.

The symbolic form is p ∧ q.

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

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संबंधित प्रश्‍न

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(B) Price increases and demand falls


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Using the truth table, prove the following logical equivalence :

p ↔ q ≡ (p ∧ q) ∨ (~p ∧ ~q)


Evaluate: ∫ x . log x dx


Write the following compound statement symbolically.

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Write the following compound statement symbolically.

The angle is right angle if and only if it is of measure 90°.


Write the following compound statement symbolically.

x is not irrational number but is a square of an integer.


Construct the truth table of the following statement pattern.

[p → (q → r)] ↔ [(p ∧ q) → r]


If p ∧ q is false and p ∨ q is true, then ______ is not true.


Construct the truth table of the following:

(∼p ∨ ∼q) ↔ [∼(p ∧ q)]


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All men are animals.


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Write the following statement in symbolic form.

Stock prices are high if and only if stocks are rising.


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Conjunction of two statement p and q is symbolically written as ______.


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It is not true that Ram is tall and handsome.


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It is not true that intelligent persons are neither polite nor helpful.


Assuming the first statement p and second as q. Write the following statement in symbolic form.

If the question paper is not easy then we shall not pass.


If p : Proof is lengthy.
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Proof is lengthy and it is not interesting.


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∃ x ∈ A, such that x + 5 < 11.


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~ (p ∨ q) ∨ (~ p ∧ q) ≡ ~ p


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p: Seema is fat,

q: Seema is happy,

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Let p: I am brave.
      q: I will climb the Mount Everest.

The symbolic form of a statement,

‘I am neither brave nor I will climb the mount Everest’ is


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