English

Which of the following sentences are statements? Justify y + 9 = 7. - Mathematics

Advertisements
Advertisements

Question

Which of the following sentences are statements? Justify

y + 9 = 7.

Options

  • True

  • False

MCQ
True or False
Advertisements

Solution

This statement is True.

Explanation:

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

y + 9 = 7

Here the value of y is not given.

So it is true for y = – 2

And false for any other value of y.

Hence, it is not a statement.

shaalaa.com
  Is there an error in this question or solution?
Chapter 14: Mathematical Reasoning - Exercise [Page 261]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 11
Chapter 14 Mathematical Reasoning
Exercise | Q 1.(vi) | Page 261

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

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.

The cat pussy is black.


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.

 This sentence is a statement.


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

 Go !


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.

The product of (−1) and 8 is 8.

 

Write the negation of the statement:

 It rained on July 4, 2005.


Write the negation of the statement:

 Ravish is honest.


Write the negation of the statement:

 The sun is cold.

 

 Some even integers are prime.


 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.

 


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:

 Square of an integer is positive or negative.i


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

 The game is cancelled only if it is raining.


Which of the following statements are compound statements 

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


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:
p: All triangles are equilateral triangles.


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


Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4


Identify the quantifiers and write the negation of the following statements:
There exists a number which is a multiple of 6 and 9.


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


Which of the following is a statement?


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


Find the component statements of the following compound statements.

Number 7 is prime and odd.


Translate the following statements into symbolic form

2, 3 and 6 are factors of 12


Write down the negation of following compound statements

All prime integers are either even or odd.


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

The square of an odd number is odd.


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.


Rewrite the following statements in the form of conditional statements

The square of a prime number is not prime.


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 statement in above statements which is not true.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×