English

Translate the following statements into symbolic form Either x or x + 1 is an odd integer.

Advertisements
Advertisements

Question

Translate the following statements into symbolic form

Either x or x + 1 is an odd integer.

Sum
Advertisements

Solution

p: x is an odd integer.

q: x + 1 is an odd integer.

p ∨ q: Either x or x + 1 is an odd integer.

shaalaa.com
  Is there an error in this question or solution?
Chapter 14: Mathematical Reasoning - Exercise [Page 263]

APPEARS IN

NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 14 Mathematical Reasoning
Exercise | Q 5.(iv) | Page 263

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Show that the statement “For any real numbers a and b, a2 = b2 implies that a = b” is not true by giving a counter-example.


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.

 All triangles have three sides.


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

Is the earth round?


Write the negation of the statement:

 The sun is cold.

 

 I will not go to school.


All policemen are thieves.

 

Write the negation of the statement:

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

 


Write the negation of the statement:

q : For every real number x, either x > 1 or x < 1.


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


Find the component statement of the compound statement:

 25 is a multiple of 5 and 8.

 

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.


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.


For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.

 To apply for a driving licence, you should have a ration card or a passport.

 

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

 To enter into a public library children need an identity card from the school or a letter from the school authorities.


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

All rational numbers are real and all real numbers are not complex.


Write the negation of  statement:

For every x ϵ N, x + 3 < 10


Negate  statement:
 All the students completed their homework.


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

There is traffic jam whenever it rains.


 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.


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.


Which of the following is a statement?


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.


Which of the following sentences are statements? Justify

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


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.

0 is less than every positive integer and every negative integer.


Find the component statements of the following compound statements.

Two lines in a plane either intersect at one point or they are parallel.


Translate the following statements into symbolic form

Rahul passed in Hindi and English.


Translate the following statements into symbolic form

x and y are even integers.


Identify the Quantifiers in the following statements.

For every natural number x, x + 1 is also a natural number.


Check the validity of the following statement.
p: 125 is divisible by 5 and 7.


The negation of the statement “72 is divisible by 2 and 3” is ______.


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×