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

Write the following statement in symbolic form. Milk is white if and only if the sky is not blue. - Mathematics and Statistics

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प्रश्न

Write the following statement in symbolic form.

Milk is white if and only if the sky is not blue.

बेरीज
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उत्तर

Let p: Milk is white.

q: Sky is blue.

The symbolic form is p ↔ ~ q.

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पाठ 1.1: Mathematical Logic - Q.4

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Write converse, inverse contrapositive of the statement "If two triangles are not congruent then their areas are not equal.


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[p → (q → r)] ↔ [(p ∧ q) → r]


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(p ∨ ∼ q) → (r ∧ p)


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∼ (∼p ∧ ∼q) ∨ q


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[(∼p ∨ q) ∧ (q → r)] → (p → r)


Write the following statement in symbolic form.

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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 ∨ (r ∧ s)] ∧ ~ [(r ∧ ~ s) ∧ q]


Negation of “some men are animal” is ______.


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

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

x3 + y3 = (x + y)3 if xy = 0.


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

If a real number is not rational, then it must be irrational.


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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p : Stock prices are high.

q : Stocks are rising.

to be true, find the truth value of the following.

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  3. If D is not very good, then D is not a dog.
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~ (p ∨ q) ∨ (~ p ∧ q) ≡ ~ p


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(p `→` ∼ r) `→` (q ∧ s)


Using truth table prove that:

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


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