English

State whether the following sentences are statements are not.(i) The angles opposite to equal sides of a triangle are equal. (ii) The moon is a satellite of earth. (iii) May God bless you! (iv) Asia

Advertisements
Advertisements

Question

State whether the following sentences are statements are not.
(i) The angles opposite to equal sides of a triangle are equal.
(ii) The moon is a satellite of earth.
(iii) May God bless you!
(iv) Asia is a continent.
(v) How are you?

Sum
Advertisements

Solution

(i) It is a statement.
(ii) It is a statement,
(iii) It is not a statement, since it is an exclamations.
(iv) It is a statement.
(v) It is not a statement, since it is a question.

shaalaa.com
  Is there an error in this question or solution?
Chapter 14: Mathematical Reasoning - Exercise [Page 269]

APPEARS IN

NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 14 Mathematical Reasoning
Exercise | Q 37 | Page 269

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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


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.

 Every set is a finite set.


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

 x2 + 5 | x | + 6 = 0 has no real roots.


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


Write the negation of the statement:

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

 


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 sky is blue and the grass is green.


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.


Determine whether the compound statement are true or false:

 Delhi is in England and 2 + 2 = 4.
 


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.


Which of the following statements are compound statements 

“2 is both an even number and a prime number”


Which of the following statements are compound statements 

“Ram and Rahim are friends”


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.


Write the negation of the following statements:
r: A triangle has four sides.


Write the negation of the following statements:
x + y = y + x and 29 is a prime number.


Rewrite the following statements in the form of conditional statements:

Mohan will be a good student if he studies hard.


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 is a statement?


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

A number is either divisible by 2 or 3.


Write down the negation of following compound statements

All rational numbers are real and complex.


Write down the negation of following compound statements

6 is divisible by 2 and 3.


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.

There exists a triangle which is not an isosceles triangle.


The negation of the statement “72 is divisible by 2 and 3” is ______.


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


Which of the following is the conditional p → q?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×