English
Tamil Nadu Board of Secondary EducationHSC Science Class 12

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 equa - Mathematics

Advertisements
Advertisements

Question

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

Sum

Solution

Let p: 19 is a prime number

q: All the angles of a triangle are equal

19 is a prime number or all the angles of a triangle are not equal ⇒ p v ¬q

shaalaa.com
Mathematical Logic
  Is there an error in this question or solution?
Chapter 12: Discrete Mathematics - Exercise 12.2 [Page 248]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 12 Discrete Mathematics
Exercise 12.2 | Q 2. (ii) | Page 248

RELATED QUESTIONS

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 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


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?

What are you doing?


Which one of the following sentences is a proposition?

How tall this mountain is!


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


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)


Prove that q → p ≡ ¬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 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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×