मराठी

Find Out the Sentence Are Statement and Are Not. Justify Your Answer. the Real Number X is Less than 2. - Mathematics

Advertisements
Advertisements

प्रश्न

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

 The real number x is less than 2.

उत्तर

The real number x is less than 2.
We cannot decide whether this sentence is true or false without knowing the value of x . So, it is not a statement.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 31: Mathematical reasoning - Exercise 31.1 [पृष्ठ ३]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
पाठ 31 Mathematical reasoning
Exercise 31.1 | Q 1.12 | पृष्ठ ३

व्हिडिओ 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


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 product of (−1) and 8 is 8.

 

Write the negation of the statement:

 Ravish is honest.


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.

 To entry a country, you need a passport or a voter registration card.


Write the component statement of the compound statement and check whether the compound statement is true or false:

The sand heats up quickly in the sun and does not cool down fast at night.

 

Determine whether the compound statement are true or false: 

 Delhi is in India and 2 + 2 = 5.


Check the validity of the statement:

q : 125 is a multiple of 5 and 7.


 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.


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 

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


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

2 is a positive number or a negative number.


Translate the following statements in symbolic form

2 and 3 are prime numbers 


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:

Ramesh will get dessert only if he eats his dinner.


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


Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day


Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.


Identify the quantifiers and write the negation of the following statements:
For all even integers x, x2 is also even.


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?


Find the component statements of the following compound statements.

The number 100 is divisible by 3, 11 and 5.


Translate the following statements into symbolic form

Either x or x + 1 is an odd integer.


Write down the negation of following compound statements

All rational numbers are real and complex.


Write down the negation of following compound statements

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


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.

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


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.

There exists a triangle which is not an isosceles triangle.


Identify the Quantifiers in the following statements.

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


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×