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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 v q - Mathematics

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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 v q

बेरीज
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उत्तर

p: Jupiter is a planet

q: India is an island

¬p v q: Jupiter is not a planet or India is an island

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Mathematical Logic
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Discrete Mathematics - Exercise 12.2 [पृष्ठ २४८]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 12 Discrete Mathematics
Exercise 12.2 | Q 1. (iii) | पृष्ठ २४८

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 → ¬q


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

19 is not a prime number


Determine the truth value of the following statement.

China is in Europe dr `sqrt(3)` is art integer


Which one of the following sentences is a proposition?

4 + 7 = 12


Which one of the following sentences is a proposition?

What are you doing?


Which one of the following sentences is a proposition?

How tall this mountain is!


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

If x and y are numbers such that x = y, then x2 = y2


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

(p ∧ q) ∧¬ (p v q)


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

((p → q) ∧ (q → r)) → (p → r)


Show that (p ∧ q) ≡ ¬p v ¬q


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


Choose the correct alternative:

The operation * defined by a * b = `"ab"/7` is not a binary operation on


Choose the correct alternative:

Which one of the following statements has the truth value T?


Choose the correct alternative:

Which one of the following statements has truth value F?


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?


Choose the correct alternative:

In the last column of the truth table for ¬(p v ¬q) the number of final outcomes of the truth value ‘F’ is


Choose the correct alternative:

The dual of ¬(p v q) v [p v(p ∧ ¬r)] is


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