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प्रश्न
Write the following statements in symbolic form
If Kutab – Minar is in Delhi then Taj - Mahal is in Agra
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उत्तर
Let p: If Kutub − Minar is in Delhi.
q: Taj − Mahal Is in Agra.
The given statement in symbolic form is p → q.
संबंधित प्रश्न
Using truth table prove that ∼p ˄ q ≡ (p ˅ q) ˄ ∼p
Using truth table, prove that ~ p ∧ q ≡ (p ∨ q) ∧ ~ p
Write the following compound statement symbolically.
Angle is neither acute nor obtuse.
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) ↔ (p → q)
Construct the truth table of the following statement pattern.
p → [∼ (q ∧ r)]
Construct the truth table of the following statement pattern.
(q → p) ∨ (∼ p ↔ q)
Construct the truth table of the following statement pattern.
[p → (q → r)] ↔ [(p ∧ q) → r]
Determine the truth values of p and q in the following case:
(p ∨ q) is T and (p ∧ q) is T
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Earth is a planet and Moon is a star.
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~ (p ∨ q)
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q : Water is warm
Give the verbal statement for the following symbolic statement.
q → p
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Give the verbal statement for the following symbolic statement.
q ∧ ~ p
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q : Sachin is a member of Rajya Sabha.
r : Sachin is happy.
Write the verbal statement of the following.
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Rewrite the following statement without using conditional –
(Hint : p → q ≡ ∼ p ∨ q)
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Write the negation of the following.
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p : Stock prices are high.
q : Stocks are rising.
to be true, find the truth value of the following.
Stock prices are high or stocks are not rising iff stocks are rising.
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- If D is dog, then D is very good.
- If D is very good, then D is dog.
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- If D is not a dog, then D is not very good.
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Negation of p → (p ˅ ∼ q) is ______
A biconditional statement is the conjunction of two ______ statements.
The negation of the statement (p ˄ q) `→` (r ˅ ∼ p) is ______.
Write the following compound statements symbolically.
Triangle is equilateral or isosceles
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Write the following statement in symbolic form:
Milk is white if and only if the sky is not blue.
Write the following statements in symbolic form
Even though it is not cloudy, it is still raining
Without using truth table show that -
(p ˅ q) ˄ (∼p v ∼q) ≡ (p ∧ ∼q) ˄ (∼p ∧ q)
State whether the following statement is True or False:
The converse of inverse of ~ p → q is q → ~ p
Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”
Write the following statements in symbolic form.
If Qutub – Minar is in Delhi then Taj-Mahal is in Agra
If c denotes the contradiction then the dual of the compound statement ∼p ∧ (q ∨ c) is ______
The Boolean expression ∼(q ⇒ ∼p) is equivalent to: ______
