हिंदी

Find Out the Sentence Are Statement and Are Not. Justify Your Answer. All Real Numbers Are Complex Numbers.

Advertisements
Advertisements

प्रश्न

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

All real numbers are complex numbers.

Advertisements

उत्तर

 All real numbers are complex numbers.
It is true because we can write a real number as \[x + 0i\] . So, it is a true statement.

 

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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?


 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:

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

 


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.

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


Determine whether the compound statement are true or false: 

 Delhi is in India and 2 + 2 = 5.


Write the negation of  statement:

 There exists x ϵ Nx + 3 = 10

 

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.


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

 The game is cancelled only if it is raining.


 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

r : Circle is a particular case of an ellipse.


Determine whether the argument used to check the validity of the following statement is correct:
p : "If x2 is irrational, then x is rational"
The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.


Which of the following statements are compound statements 

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


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:

A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.


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

A triangle has three sides.


Which of the following sentences are statements? Justify

Sky is red.


Find the component statements of the following compound statements.

Chennai is in India and is the capital of Tamil Nadu.


Find the component statements of the following compound statements.

Chandigarh is the capital of Haryana and U.P.


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

All living things have two eyes and two legs.


Translate the following statements into symbolic form

Either x or x + 1 is an odd integer.


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

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


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 triangle which is not equilateral.


Identify the Quantifiers in the following statements.

There exists a real number which is not a rational number.


Identify the Quantifiers in the following statements.

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


Check the validity of the following statement.
q: 131 is a multiple of 3 or 11


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×