हिंदी

Rewrite the following statements in the form of conditional statements: Ramesh will get dessert only if he eats his dinner.

Advertisements
Advertisements

प्रश्न

Rewrite the following statements in the form of conditional statements:

Ramesh will get dessert only if he eats his dinner.

योग
Advertisements

उत्तर

The given statement is of the form

“p only if q” which is an equivalent form (Remark (c) 14.1.12) of the statement “if p then q”.

So, the equivalent formulation of the given statement is:

“If Ramesh eats his dinner, then he will get dessert”

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 14: Mathematical Reasoning - Solved Examples [पृष्ठ २५७]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
अध्याय 14 Mathematical Reasoning
Solved Examples | Q 8.(ii) | पृष्ठ २५७

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

By giving a counter example, show that the following statements are not true.

q: The equation x2 – 1 = 0 does not have a root lying between 0 and 2.


Find out the following  sentence is a statement and is not. Justify your answer.

Listen to me, Ravi !


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

The cat pussy is black.


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.

All real numbers are complex numbers.


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

The product of (−1) and 8 is 8.

 

Give three examples of sentences which are not statements. Give reasons for the answers.


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.


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.

 To entry a country, you need a passport or a voter registration card.


Determine whether the compound statement are true or false: 

 Delhi is in India and 2 + 2 = 5.


Write the negation of  statement:

 There exists x ϵ N, x + 3 = 10

 

Negate of the  statement :

There exists a number which is equal to its square.

 

 


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". 

 It never rains when it is cold.

 

 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.


Which of the following statements are compound statements 

“9 is neither an even number nor a prime number”


Identify the component statements and the connective in the following compound statements.

2 is a positive number or a negative number.


Write the negation of the following statements:
r: A triangle has four sides.


Which of the following sentences are statements? Justify

A triangle has three sides.


Which of the following sentences are statements? Justify

Sky is red.


Which of the following sentences are statements? Justify

Every set is an infinite set.


Which of the following sentences are statements? Justify

15 + 8 > 23


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

2, 3 and 6 are factors of 12


Translate the following statements into symbolic form

Either x or x + 1 is an odd integer.


Translate the following statements into symbolic form

A number is either divisible by 2 or 3.


Write down the negation of following compound statements

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


Form the biconditional statement p ↔ q, where
p: A triangle is an equilateral triangle.
q: All three sides of a triangle are equal.


Identify the Quantifiers in the following statements.

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


Identify the Quantifiers in the following statements.

There exists a triangle which is not an isosceles triangle.


Identify the Quantifiers in the following statements.

There exists a even prime number other than 2.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×