Advertisements
Advertisements
प्रश्न
Write of the statement in the form "if p, then q".
It is necessary to be rich in order to be happy.
Advertisements
उत्तर
If you want to be happy, then you will have to be rich.
APPEARS IN
संबंधित प्रश्न
Show that the statement
p: “If x is a real number such that x3 + 4x = 0, then x is 0” is true by
(i) direct method
(ii) method of contradiction
(iii) method of contrapositive
Show that the following statement is true by the method of contrapositive.
p: If x is an integer and x2 is even, then x is also even.
Give three examples of sentences which are not statements. Give reasons for the answers.
Write the negation of the statement:
The earth is round.
Some even integers are prime.
There is a complex number which is not a real number.
I will not go to school.
Both the diagonals of a rectangle have the same length.
Are the pair of statement are negation of each other:
The number x is not a rational number.
The number x is an irrational number.
Find the component statement of the compound statement:
All rational numbers are real and all real numbers are complex.
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:
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.
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".
There is traffic jam whenever it rains.
Check the validity of the statement:
q : 125 is a multiple of 5 and 7.
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 negation of the statement
“Everyone who lives in India is an Indian”
Write the negation of the following statements:
p: All triangles are equilateral triangles.
Write the negation of the following statements:
q: 9 is a multiple of 4.
Rewrite the following statements in the form of conditional statements:
A sufficient condition for Tara to visit New Delhi is that she goes to the Rashtrapati Bhawan.
Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4
Identify the quantifiers and write the negation of the following statements:
There exists a number which is a multiple of 6 and 9.
Which of the following sentences are statements? Justify
0 is a complex number.
Which of the following sentences are statements? Justify
15 + 8 > 23
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.
2 is an even number and a prime number.
Translate the following statements into symbolic form
Rahul passed in Hindi and English.
Write down the negation of following compound statements
All rational numbers are real and complex.
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.
Identify the Quantifiers in the following statements.
There exists a triangle which is not an isosceles triangle.
Identify the Quantifiers in the following statements.
For all negative integers x, x 3 is also a negative integers.
Check the validity of the following statement.
p: 125 is divisible by 5 and 7.
The negation of the statement “7 is greater than 8” is ______.
Which of the following statement is a conjunction?
