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

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.

 All triangles have three sides.


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

 x2 + 5 | x | + 6 = 0 has no real roots.


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:

 It rained on July 4, 2005.


Write the negation of the statement:

 Ravish is honest.


Write the negation of the statement:

 The earth is round.


There is a complex number which is not a real number.


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:
 The sky is blue and the grass is green.


Find the component statement of the compound statement:

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


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.


Determine whether the compound statement are true or false: 

 Delhi is in India and 2 + 2 = 5.


Write the negation of  statement:

For every x ϵ N, x + 3 < 10


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:

 p : 100 is a multiple of 4 and 5.


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

 t :  \[\sqrt{11}\]  is a rational number. 

 

 


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.


Rewrite the following statements in the form of conditional statements:

When you sing, my ears hurt.


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


Which of the following is a statement?


Which of the following sentences are statements? Justify

sin2x + cos2x = 0


Find the component statements of the following compound statements.

`sqrt(7)` is a rational number or an irrational number.


Translate the following statements into symbolic form

Either x or x + 1 is an odd integer.


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

35 is a prime number or a composite number


Rewrite the following statements in the form of conditional statements

You will get a sweet dish after the dinner.


Identify the Quantifiers in the following statements.

For all negative integers x, x 3 is also a negative integers.


The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.


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


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


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×