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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

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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

बेरीज
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उत्तर

p: Jupiter is a planet

q: India is an island

¬ P: Jupiter is not a planet

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

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


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

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


Determine the truth value of the following statement.

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


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?


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

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


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


Construct the truth table for the following statement

(¬p → r) ∧ (p ↔ q)


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 v q) ∧¬p) → 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) ≡ p ∧¬q


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


Check whether the statement p → (q → p) is a tautology or a contradiction without using the truth table


Choose the correct alternative:

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


Choose the correct alternative:

Which one of the following is incorrect? For any two propositions p and q, we have


Choose the correct alternative:

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

Which one of the following is correct for the truth value of (p ∧ q) → ¬p


Choose the correct alternative:

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


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