हिंदी

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. - Mathematics

Advertisements
Advertisements

प्रश्न

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.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is False.

Explanation:

Since p ∧ q has truth value F whenever either p or q or both have the truth value F.

Its component statements are

p: All living things have two eyes.  ......(False)

q: All living things have two legs.  ......(False)

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Mathematical Reasoning - Exercise [पृष्ठ २६२]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 14 Mathematical Reasoning
Exercise | Q 3.(iii) | पृष्ठ २६२

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Show that the statement “For any real numbers a and ba2 = b2 implies that a = b” is not true by giving a counter-example.


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.

Every rhombus is a square.


Write the negation of the statement:
Banglore is the capital of Karnataka.


 I will not go to school.


Are the pair of statement are negation of each other:

 The number x is not a rational number.
The number is an irrational number.


Find the component statement of the compound statement:
 The sky is blue and the grass is green.


Determine whether the compound statement are true or false:

 Delhi is in India and 2 + 2 = 4.
 


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 

“Ram and Rahim are friends”


Translate the following statements in symbolic form

Tigers are found in Gir forest or Rajaji national park.


Rewrite the following statements in the form of conditional statements:

Ramesh will get dessert only if he eats his dinner.


Rewrite the following statements in the form of conditional statements:

When you sing, my ears hurt.


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


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


Which of the following sentences are statements? Justify

0 is a complex number.


Which of the following sentences are statements? Justify

Sum of opposite angles of a cyclic quadrilateral is 180°.


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.


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

A number is either divisible by 2 or 3.


Rewrite the following statements in the form of conditional statements

The square of a prime number is not prime.


Rewrite the following statements in the form of conditional statements

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


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.
p: 125 is divisible by 5 and 7.


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


The negation of the statement “Rajesh or Rajni lived in Bangalore” is ______.


Which of the following is the conditional p → q?


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


State whether the following sentences are statements are not.
(i) The angles opposite to equal sides of a triangle are equal.
(ii) The moon is a satellite of earth.
(iii) May God bless you!
(iv) Asia is a continent.
(v) How are you?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×