मराठी

Which of the following statements are compound statements “9 is neither an even number nor a prime number”

Advertisements
Advertisements

प्रश्न

Which of the following statements are compound statements 

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

बेरीज
Advertisements

उत्तर

The given statement can be broken into two simple statements “9 is not an even number” and “9 is not a prime number” and connected by the connective ‘and’

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Mathematical Reasoning - Solved Examples [पृष्ठ २५४]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
पाठ 14 Mathematical Reasoning
Solved Examples | Q 1.(ii) | पृष्ठ २५४

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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.


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.

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


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

There are 35 days in a month.


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.

The product of (−1) and 8 is 8.

 

Give three examples of sentences which are not statements. Give reasons for the answers.


All birds sing.


 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.

 


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.


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

 x = 2 and x = 3 are the roots or the equation 3x2 − x − 10 = 0.


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 N, x + 3 = 10

 

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

 Whenever it rains it is cold.


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

 It never rains when it is cold.

 

Check the validity of the statement:

 r : 60 is a multiple of 3 or 5.

 

 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.


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 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:

A sufficient condition for Tara to visit New Delhi is that she goes to the Rashtrapati Bhawan.


Translate the following statements in symbolic form:
If x = 7 and y = 4” then x + y = 11.


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


Which of the following sentences are statements? Justify

y + 9 = 7.


Find the component statements of the following compound statements.

Plants use sunlight, water and carbon dioxide for photosynthesis.


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

2 is an even number and a prime number.


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 real numbers are rationals or irrationals.


Form the biconditional statement p ↔ q, where
p: The unit digit of an integer is zero.
q: It is divisible by 5.


Identify the Quantifiers in the following statements.

There exists a statement in above statements which is not true.


Identify the Quantifiers in the following statements.

There exists a real number x such that x2 + 1 = 0.


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


Which of the following is not a statement>


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 ______.


The negation of the statement “101 is not a multiple of 3” is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×