हिंदी

Identify the Quantifiers in the following statements. For all real numbers x and y, xy = yx.

Advertisements
Advertisements

प्रश्न

Identify the Quantifiers in the following statements.

For all real numbers x and y, xy = yx.

योग
Advertisements

उत्तर

Quantifier means a phrase like ‘there exists’, ‘for all’ and ‘for every’ etc.

For all

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Mathematical Reasoning - Exercise [पृष्ठ २६४]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 14 Mathematical Reasoning
Exercise | Q 11.(ii) | पृष्ठ २६४

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


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 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.

Every rhombus is a square.


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.

 The real number x is less than 2.


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

 Mathematics is difficult.


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

All real numbers are complex numbers.


Write the negation of the statement:

 The earth is round.


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


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.


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:

 To enter into a public library children need an identity card from the school or a letter from the school authorities.


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 England and 2 + 2 =5.

 

Write the negation of  statement:

 There exists x ϵ Nx + 3 = 10

 

Negate  statement:
 All the students completed their homework.


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 

“9 is neither an even number nor a prime number”


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

It is raining or the sun is shining.


Rewrite the following statements in the form of conditional statements:

When you sing, my ears hurt.


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:
r: 100 is a multiple of 4 and 5.


Which of the following sentences are statements? Justify

Where is your bag?


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

24 is a multiple of 4 and 6.


Translate the following statements into symbolic form

x and y are even integers.


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 real numbers are rationals or irrationals.


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

The square of a prime number is not prime.


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 even prime number other than 2.


The negation of the statement “A circle is an ellipse” 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×