मराठी

Rewrite the following statements in the form of conditional statements The square of a prime number is not prime. - Mathematics

Advertisements
Advertisements

प्रश्न

Rewrite the following statements in the form of conditional statements

The square of a prime number is not prime.

बेरीज
Advertisements

उत्तर

q is necessary for p ⇒ If any number is prime, then its square is not prime.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Mathematical Reasoning - Exercise [पृष्ठ २६३]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 14 Mathematical Reasoning
Exercise | Q 7.(v) | पृष्ठ २६३

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Show that the statement “For any real numbers a and ba2 = b2 implies that a = b” is not true by giving a counter-example.


Find out the sentence are statement and are not. Justify your answer.

 Mathematics is difficult.


All birds sing.


There is a complex number which is not a real number.


 I will not go to school.


Write the negation of the statement:

 p : For every positive real number x, the number (x − 1) is also positive.

 


Find the component statement of the compound statement:

The earth is round or the sun is cold.


For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.

 Students can take Hindi or Sanskrit as their third language.


Determine whether the compound statement are true or false: 

Delhi is in England and 2 + 2 =5.

 

Write of the statement in the form "if p, then q". 

You can access the website only if you pay a subscription fee.

 


Write of the statement in the form "if p, then q". 

There is traffic jam whenever it rains.


Write of the statement in the form "if p, then q". 

 It is necessary to have a passport to log on to the server.


Write of the statement in the form "if p, then q". 

 It is necessary to be rich in order to be happy.


 statement are true and false? In each case give a valid reason for saying so

 t :  \[\sqrt{11}\]  is a rational number. 

 

 


Determine whether the argument used to check the validity of the following statement is correct:
p : "If x2 is irrational, then x is rational"
The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.


Which of the following statements are compound statements 

“Ram and Rahim are friends”


Translate the following statements in symbolic form:
If x = 7 and y = 4” then x + y = 11.


Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day


Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”


Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.


Check the validity of the statements:
r: 100 is a multiple of 4 and 5.


Which of the following sentences are statements? Justify

Every square is a rectangle.


Find the component statements of the following compound statements.

`sqrt(7)` is a rational number or an irrational number.


Translate the following statements into symbolic form

Either x or x + 1 is an odd integer.


Translate the following statements into symbolic form

A number is either divisible by 2 or 3.


Translate the following statements into symbolic form

Students can take Hindi or English as an optional paper.


Rewrite the following statements in the form of conditional statements

You will get a sweet dish after the dinner.


Form the biconditional statement p ↔ q, where
p: A natural number n is odd.
q: Natural number n is not divisible by 2.


Identify the Quantifiers in the following statements.

There exists a triangle which is not equilateral.


Identify the Quantifiers in the following statements.

There exists a triangle which is not an isosceles triangle.


Check the validity of the following statement.
p: 125 is divisible by 5 and 7.


Check the validity of the following statement.
q: 131 is a multiple of 3 or 11


The negation of the statement “Plants take in CO2 and give out O2 ” is ______.


The negation of the statement “101 is not a multiple of 3” is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×