मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता १२

Show that (p ∧ q) ≡ ¬p v ¬q

Advertisements
Advertisements

प्रश्न

Show that (p ∧ q) ≡ ¬p v ¬q

तक्ता
बेरीज
Advertisements

उत्तर

p q p ∧ q ¬(p v q) ¬p ¬q ¬p v ¬q
T T T F F F F
T F F T F T T
F T F T T F T
F F F T T T T

The entries in the columns corresponding to ¬(p ∧ q) and ¬P v ¬q are identical and hence they are equivalent.

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 8. (i) | 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


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


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.

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


Which one of the following sentences is a proposition?

What are you doing?


Which one of the following sentences is a proposition?

3n ≤ 81, n ∈ N


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 v q) v ¬q


Verify whether the following compound propositions are tautologies or contradictions or contingency.

(p ∧ q) ∧¬ (p v q)


Prove p → (q → r) ≡ (p ∧ q) → r without using the truth table


Choose the correct alternative:

Which one of the following statements has truth value F?


Choose the correct alternative:

If a compound statement involves 3 simple statements, then the number of rows in the truth table 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 proposition p∧(¬p∨q)] is


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×