हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा १२

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

Advertisements
Advertisements

प्रश्न

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

19 is not a prime number

योग
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
  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 2. (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 ∧ ¬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 a prime number or all the angles of a triangle are not equal


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?


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


Prove that q → p ≡ ¬p → ¬q


Show that ¬(p ↔ q) ≡ p ↔ ¬q


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


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


Choose the correct alternative:

In the last column of the truth table for ¬(p v ¬q) the number of final outcomes of the truth value ‘F’ is


Choose the correct alternative:

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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×