मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता १२

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

Advertisements
Advertisements

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

बेरीज
Advertisements

उत्तर

p: Jupiter is a planet

q: India is an island

p → ¬q: Jupiter is a planet then India is not an island

shaalaa.com
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. (iv) | 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


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.

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?

How tall this mountain is!


Construct the truth table for the following statement.

¬P ∧ ¬q


Construct the truth table for the following statement.

¬(P ∧ ¬q)


Construct the truth table for the following statement.

(p v q) v ¬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)


Show that ¬(p → q) ≡ p ∧¬q


Show that p → q and q → p are not 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:

Which one is the contrapositive of the statement (p v q) → r?


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:

Which one of the following is not true?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×