हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा १२

Construct the truth table for the following statement. ¬(P ∧ ¬q) - Mathematics

Advertisements
Advertisements

प्रश्न

Construct the truth table for the following statement.

¬(P ∧ ¬q)

सारिणी
योग

उत्तर

p q ¬p p ∧ ¬q ¬(P ∧ ¬q)
T T F F T
T F T T F
F T F F T
F F T F T
shaalaa.com
Mathematical Logic
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 12: Discrete Mathematics - Exercise 12.2 [पृष्ठ २४८]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 12 Discrete Mathematics
Exercise 12.2 | Q 6. (ii) | 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


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.

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


Determine the truth value of the following statement.

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


Determine the truth value of the following statement.

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


Determine the truth value of the following statement.

11 is a prime number and all the sides of a rectangle are equal


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 v q) v ¬q


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

(p → q) ↔ (¬p → q)


Show that (p ∧ q) ≡ ¬p v ¬q


Show that ¬(p → q) ≡ p ∧¬q


Show that ¬(p ↔ q) ≡ p ↔ ¬q


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:

Which one of the following statements has truth value F?


Choose the correct alternative:

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


Choose the correct alternative:

Which one of the following is incorrect? For any two propositions p and q, we have


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×