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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता १२

Choose the correct alternative: Which one is the inverse of the statement (p v q) → (p ∧ q)?

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प्रश्न

Choose the correct alternative:

Which one is the inverse of the statement (p v q) → (p ∧ q)?

पर्याय

  • (p ∧ q) → (p v q)

  • ¬(p v q) → (p ∧ q

  • (¬P v ¬q) → (¬p ∧ ¬q)

  • (¬p ∧ ¬q) → (¬p v ¬q)

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उत्तर

(¬p ∧ ¬q) → (¬p v ¬q)

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Mathematical Logic
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Discrete Mathematics - Exercise 12.3 [पृष्ठ २५०]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 12 Discrete Mathematics
Exercise 12.3 | Q 11 | पृष्ठ २५०

संबंधित प्रश्‍न

Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.

¬ P


Let p : Jupiter is a planet and q : India is an island be any two simple statements. Give verbal sentence describing the following statement.

P ∧ ¬q


Write the following sentences in symbolic form using statement variables p and q.

19 is not a prime number and all the angles of a triangle are equal


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19 is not a prime number


Determine the truth value of the following statement.

It is not true that 5 + 5 = 9 or Earth is a planet


Determine the truth value of the following statement.

11 is a prime number and all the sides of a rectangle are equal


Which one of the following sentences is a proposition?

3n ≤ 81, n ∈ N


Write the converse, inverse, and contrapositive of the following implication.

If a quadrilateral is a square then it is a rectangle


Construct the truth table for the following statement.

¬(P ∧ ¬q)


Verify whether the following compound propositions are tautologies or contradictions or contingency.

((p → q) ∧ (q → r)) → (p → r)


Show that p → q and q → p are not equivalent


Using the truth table check whether the statements ¬(p v q) v (¬p ∧ q) and ¬p are logically equivalent


Prove p → (q → r) ≡ (p ∧ q) → r without using the truth table


Prove that p → (¬q v r) ≡ ¬p v (¬q v r) using truth table


Choose the correct alternative:

If a compound statement involves 3 simple statements, then the number of rows in the truth table is


Choose the correct alternative:

The truth table for (p ∧ q) v ¬q is given below

p q (p ∧ q) v ¬q
T T (a)
T F (b)
F T (c)
F F (d)

Which one of the following is true?


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