मराठी

Find the component statements of the following compound statements. Number 7 is prime and odd. - Mathematics

Advertisements
Advertisements

प्रश्न

Find the component statements of the following compound statements.

Number 7 is prime and odd.

बेरीज
Advertisements

उत्तर

p: Number 7 is prime.

q: Number 7 is odd.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Mathematical Reasoning - Exercise [पृष्ठ २६२]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 14 Mathematical Reasoning
Exercise | Q 2.(i) | पृष्ठ २६२

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

By giving a counter example, show that the following statements are not true.

p: If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle.


By giving a counter example, show that the following statements are not true.

q: The equation x2 – 1 = 0 does not have a root lying between 0 and 2.


Find out the following  sentence is a statement and is not. Justify your answer.

Listen to me, Ravi !


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

 All triangles have three sides.


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

Every rhombus is a square.


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

 The real number x is less than 2.


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

There are 35 days in a month.


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

All real numbers are complex numbers.


 Some even integers are prime.


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


All policemen are thieves.

 

Are the pair of statement are negation of each other:
The number is not a rational number.
The number x is not an irrational number.


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.


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

A lady gives birth to a baby boy or a baby girl.


Write the component statement of the compound statement and check whether the compound statement is true or false:

All rational numbers are real and all real numbers are not complex.


Write the component statement of the compound statement and check whether the compound statement is true or false:

 Square of an integer is positive or negative.i


Determine whether the compound statement are true or false: 

 Delhi is in India and 2 + 2 = 5.


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 rains only if it is cold.


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

r : Circle is a particular case of an ellipse.


Identify the component statements and the connective in the following compound statements.

2 is a positive number or a negative number.


Write the negation of the following statements:
q: 9 is a multiple of 4.


Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.


Rewrite the following statements in the form of conditional statements:

Mohan will be a good student if he studies hard.


Which of the following sentences are statements? Justify

A triangle has three sides.


Find the component statements of the following compound statements.

0 is less than every positive integer and every negative integer.


Find the component statements of the following compound statements.

A rectangle is a quadrilateral or a 5-sided polygon.


Write the component statements of the following compound statements and check whether the compound statement is true or false.

2 is an even number and a prime number.


Translate the following statements into symbolic form

2, 3 and 6 are factors of 12


Translate the following statements into symbolic form

Students can take Hindi or English as an optional paper.


Write down the negation of following compound statements

All prime integers are either even or odd.


Rewrite the following statements in the form of conditional statements

You will get a sweet dish after the dinner.


Rewrite the following statements in the form of conditional statements

2b = a + c, if a, b and c are in A.P.


Identify the Quantifiers in the following statements.

There exists a triangle which is not equilateral.


Identify the Quantifiers in the following statements.

For every natural number x, x + 1 is also a natural number.


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


Which of the following is the conditional p → q?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×