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If p : He swims q : Water is warm Give the verbal statement for the following symbolic statement: p ↔ ~ q - Mathematics and Statistics

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प्रश्न

If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement:

p ↔ ~ q

अति संक्षिप्त उत्तर
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उत्तर

He swims if and only if water is not warm.

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पाठ 1: Mathematical Logic - Exercise 1.4 [पृष्ठ ११]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 1 Mathematical Logic
Exercise 1.4 | Q 5.1 | पृष्ठ ११

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Construct the truth table of the following:

[(p ∧ q) ∨ r] ∧ [∼r ∨ (p ∧ q)]


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It is false that Nagpur is capital of Maharashtra


Write the truth value of the negation of the following statement.

London is in England.


Write the following statement in symbolic form.

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


If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement.

~ (p ∨ q)


Fill in the blanks :

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


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


If p : Proof is lengthy.
q : It is interesting.
Express the following statement in symbolic form.

It is interesting iff the proof is lengthy.


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


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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


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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


Rewrite the following statement without using conditional –
(Hint : p → q ≡ ∼ p ∨ q)

If demand falls, then price does not increase.


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


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Without using truth table prove that:

~ (p ∨ q) ∨ (~ p ∧ q) ≡ ~ p


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Converse of the statement q `rightarrow` p is ______.


Express the following compound statement symbolically:

3 + 8 ≥ 12 if and only if 5 × 4 ≤ 25


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