हिंदी

Which of the following sentences are statements? Justify Every set is an infinite set. - Mathematics

Advertisements
Advertisements

प्रश्न

Which of the following sentences are statements? Justify

Every set is an infinite set.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
Advertisements

उत्तर

This statement is False.

Explanation:

We know that is either true or false but not both simultaneously

Hence, it is a statement.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Mathematical Reasoning - Exercise [पृष्ठ २६१]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 14 Mathematical Reasoning
Exercise | Q 1.(iv) | पृष्ठ २६१

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Show that the statement

p: “If x is a real number such that x3 + 4= 0, then x is 0” is true by

(i) direct method

(ii) method of contradiction

(iii) method of contrapositive


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.

 Are all circles round?


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.

All real numbers are complex numbers.


 I will not go to school.


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.


Write the negation of the statement:

q : For every real number x, either x > 1 or x < 1.


Find the component statement of the compound statement:

The earth is round or the sun is cold.


Find the component statement of the compound statement:

All rational numbers are real and all real numbers are complex.


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 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

 p : Each radius of a circle is a chord of the circle.


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

q : The centre of a circle bisects each chord of the circle.


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

It is raining or the sun is shining.


Write the truth value of the following statements.
(i) 9 is an even integer or 9 + 1 is even.
(ii) 2 + 4 = 6 or 2 + 4 = 7
(iii) Delhi is the capital of India and Islamabad is the capital of Pakistan.
(iv) Every rectangle is a square and every square is a rectangle
(v) The sun is a star or sun is a planet.


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


Check the validity of the statements:
s: 60 is a multiple of 3 or 5.


The negation of the statement “It is raining and weather is cold.” is ______.


Which of the following sentences are statements? Justify

Where is your bag?


Which of the following sentences are statements? Justify

Sum of opposite angles of a cyclic quadrilateral is 180°.


Find the component statements of the following compound statements.

Number 7 is prime and odd.


Find the component statements of the following compound statements.

Two lines in a plane either intersect at one point or they are parallel.


Find the component statements of the following compound statements.

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


Translate the following statements into symbolic form

x and y are even integers.


Write down the negation of following compound statements

A triangle has either 3-sides or 4-sides.


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

You will fail, if you will not study.


Rewrite the following statements in the form of conditional statements

The unit digit of an integer is 0 or 5 if it is divisible by 5.


Form the biconditional statement p ↔ q, where
p: A triangle is an equilateral triangle.
q: All three sides of a triangle are equal.


Identify the Quantifiers in the following statements.

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


Identify the Quantifiers in the following statements.

For all negative integers x, x 3 is also a negative integers.


The negation of the statement “7 is greater than 8” is ______.


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 ______.


Which of the following is not a negation of “A natural number is greater than zero”?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×