मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता १२

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

Advertisements
Advertisements

प्रश्न

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

तक्ता
बेरीज
Advertisements

उत्तर

p q p → q q → p
T T T T
T F F T
F T T F
F F T T

From the table, it is clear that

p → q ≠ q → P

shaalaa.com
Mathematical Logic
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Discrete Mathematics - Exercise 12.2 [पृष्ठ २४९]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 12 Discrete Mathematics
Exercise 12.2 | Q 10 | पृष्ठ २४९

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


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


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


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


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.

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


Which one of the following sentences is a proposition?

Peacock is our national bird


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)


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


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:

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:

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:

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


Choose the correct alternative:

Which one of the following is not true?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×