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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

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


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.

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


Which one of the following sentences is a proposition?

What are you doing?


Which one of the following sentences is a proposition?

Peacock is our national bird


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 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) ↔ (¬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


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:

Determine the truth value of each of the following statements:
(a) 4 + 2 = 5 and 6 + 3 = 9
(b) 3 + 2 = 5 and 6 + 1 = 7
(c) 4 + 5 = 9 and 1 + 2 = 4
(d) 3 + 2 = 5 and 4 + 7 = 11


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