मराठी

Translate the following statements into symbolic form A number is either divisible by 2 or 3.

Advertisements
Advertisements

प्रश्न

Translate the following statements into symbolic form

A number is either divisible by 2 or 3.

बेरीज
Advertisements

उत्तर

p: a number is divisible by 2.

q: a number is divisible by 3.

p ∨ q: a number divisible by 2 or 3.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Mathematical Reasoning - Exercise [पृष्ठ २६३]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
पाठ 14 Mathematical Reasoning
Exercise | Q 5.(v) | पृष्ठ २६३

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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.

 Are all circles round?


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

There are 35 days in a month.


Write the negation of the statement:

 Ravish is honest.


Write the negation of the statement:

 The sun is cold.

 

 Some even integers are prime.


Write the negation of the statement:

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


Check whether the following pair of statements are negation of each other. Give reasons for your answer.
a + b = b + a is true for every real number a and b.
 There exist real numbers a and b for which a + b = b + a.


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.


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.


Determine whether the compound statement are true or false:

 Delhi is in England and 2 + 2 = 4.
 


Write the negation of  statement:

For every x ϵ Nx + 3 < 10


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

There is traffic jam whenever it rains.


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

 It rains only if it is cold.


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

 Whenever it rains it is cold.


Check the validity of the statement:

q : 125 is a multiple of 5 and 7.


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”


Translate the following statements in symbolic form

Tigers are found in Gir forest or Rajaji national park.


Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.


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 necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.


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


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

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.

All living things have two eyes and two legs.


Write down the negation of following compound statements

All real numbers are rationals or irrationals.


Write down the negation of following compound statements

x = 2 and x = 3 are roots of the Quadratic equation x2 – 5x + 6 = 0.


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

The unit digit of an integer is 0 or 5 if it is divisible by 5.


Identify the Quantifiers in the following statements.

There exists a real number which is not a rational number.


Identify the Quantifiers in the following statements.

For all real numbers x with x > 3, x 2 is greater than 9.


The connective in the statement “Earth revolves round the Sun and Moon is a satellite of earth” is ______.


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


Which of the following statement is a conjunction?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×