हिंदी

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

Advertisements
Advertisements

प्रश्न

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

योग
Advertisements

उत्तर

Let p: x = 7 and y = 4 and q: x + y = 11

Then the given statement is symbolic form is p → q

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Mathematical Reasoning - Solved Examples [पृष्ठ २५९]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 14 Mathematical Reasoning
Solved Examples | Q 10 | पृष्ठ २५९

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Show that the following statement is true by the method of contrapositive.

pIf x is an integer and x2 is even, then x is also even.


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

Is the earth round?


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.


Write the negation of the statement:

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


Write the negation of the statement:

r : There exists a number x such that 0 < x < 1.

 

Find the component statement of the compound statement:

All rational numbers are real and all real numbers are complex.


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.

A lady gives birth to a baby boy or a baby girl.


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.


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

 The game is cancelled only if it is raining.


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

 It never rains when it is cold.

 

Check the validity of the statement:

q : 125 is a multiple of 5 and 7.


Write the negation of the following statements:
x + y = y + x and 29 is a prime number.


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


Identify the quantifiers and write the negation of the following statements:
There exists a number which is a multiple of 6 and 9.


Check the validity of the statements:
r: 100 is a multiple of 4 and 5.


Check the validity of the statements:
s: 60 is a multiple of 3 or 5.


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


Which of the following sentences are statements? Justify

Sky is red.


Find the component statements of the following compound statements.

The number 100 is divisible by 3, 11 and 5.


Find the component statements of the following compound statements.

Chandigarh is the capital of Haryana and U.P.


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.

All living things have two eyes and two legs.


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.


Translate the following statements into symbolic form

Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0


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.


Write down the negation of following compound statements

6 is divisible by 2 and 3.


Rewrite the following statements in the form of conditional statements

The square of a prime number is not prime.


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


Form the biconditional statement p ↔ q, where
p: A natural number n is odd.
q: Natural number n is not divisible by 2.


Identify the Quantifiers in the following statements.

There exists a triangle which is not equilateral.


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


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


The negation of the statement “The product of 3 and 4 is 9” is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×