हिंदी

Write down the negation of following compound statements A triangle has either 3-sides or 4-sides.

Advertisements
Advertisements

प्रश्न

Write down the negation of following compound statements

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

योग
Advertisements

उत्तर

p: A triangle has 3-sides.

q: A triangle has 4-sides.

The negation of the above statements is

~ (p ∨ q) = (~ p ∧ ~ q): A triangle has neither 3-sides nor 4-sides.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Mathematical Reasoning - Exercise [पृष्ठ २६३]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 14 Mathematical Reasoning
Exercise | Q 6.(iv) | पृष्ठ २६३

वीडियो 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.

Two non-empty sets have always a non-empty intersection.


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.

All real numbers are complex numbers.


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


Write the negation of the statement:

 Ravish is honest.


Write the negation of the statement:

 The earth is round.


 Some even integers are prime.


 I will not go to school.


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.

 

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

 It never rains when it is cold.

 

Check the validity of the statement:

 p : 100 is a multiple of 4 and 5.


Check the validity of the statement:

q : 125 is a multiple of 5 and 7.


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.


 statement are true and false? In each case give a valid reason for saying so

 s : If x and y are integers such that x > y, then − x < − y.


Which of the following statements are compound statements 

“9 is neither an even number nor 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 negation of the statement
“Everyone who lives in India is an Indian”


Write the negation of the following statements:
q: 9 is a multiple of 4.


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


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


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


Which of the following sentences are statements? Justify

A triangle has three sides.


Which of the following sentences are statements? Justify

0 is a complex number.


Which of the following sentences are statements? Justify

Every set is an infinite set.


Find the component statements of the following compound statements.

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


Write down the negation of following compound statements

All real numbers are rationals or irrationals.


Write down the negation of following compound statements

35 is a prime number or a composite number


Write down the negation of following compound statements

|x| is equal to either x or – x.


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

You will fail, if you will not study.


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.


Identify the Quantifiers in the following statements.

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


The negation of the statement “7 is greater than 8” is ______.


The negation of the statement “Plants take in CO2 and give out O2 ” is ______.


Which of the following is not a negation of “A natural number is greater than zero”?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×