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Determine the truth value of the following statement. It is not true that 5 + 5 = 9 or Earth is a planet

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प्रश्न

Determine the truth value of the following statement.

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

बेरीज
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उत्तर

p: 5 + 5 = 9 (F)

q: Earth is a planet (T)

∴ ¬p v q is having the truth value T

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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 3. (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


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


Determine the truth value of the following statement.

If 6 + 2 = 5, then the milk is white.


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?

What are you doing?


Construct the truth table for the following statement.

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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 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


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Choose the correct alternative:

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Choose the correct alternative:

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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:

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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