हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा १२

Construct the truth table for the following statement (¬p → r) ∧ (p ↔ q) - Mathematics

Advertisements
Advertisements

प्रश्न

Construct the truth table for the following statement

(¬p → r) ∧ (p ↔ q)

सारिणी
योग

उत्तर

p q r ¬p ¬p → r (p ↔ q) (¬p → r) ∧ (p ↔ q)
T T T F T T T
T T F F T T T
T F T F T F F
T F F F T F F
F T T T T F F
F T F T F F F
F F T T T T T
F F F T F T F
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. (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


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


Write the following sentences in symbolic form using statement variables p and q.

19 is not a prime number


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 v 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 and q → p are not equivalent


Show that ¬(p ↔ q) ≡ p ↔ ¬q


Using the truth table check whether the statements ¬(p v q) v (¬p ∧ q) and ¬p are logically equivalent


Prove that p → (¬q v r) ≡ ¬p v (¬q v r) using truth table


Choose the correct alternative:

Which one is the inverse of the statement (p v q) → (p ∧ q)?


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:

The dual of ¬(p v q) v [p v(p ∧ ¬r)] 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×