मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता १२

Write the following sentences in symbolic form using statement variables p and q. 19 is not a prime number

Advertisements
Advertisements

प्रश्न

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

19 is not a prime number

बेरीज
Advertisements

उत्तर

Let p: 19 is a prime number

q: All the angles of a triangle are equal

19 is not a prime number ⇒ ¬p

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 2. (iv) | पृष्ठ २४८

संबंधित प्रश्‍न

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.

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


Which one of the following sentences is a proposition?

3n ≤ 81, n ∈ N


Which one of the following sentences is a proposition?

Peacock is our national bird


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


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


Prove that q → p ≡ ¬p → ¬q


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


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


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:

Which one of the following is not true?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×