Advertisements
Advertisements
प्रश्न
Some even integers are prime.
उत्तर
Negation of the given statement:
Some integers are not prime.
Or
No even integer is prime.
APPEARS IN
संबंधित प्रश्न
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.
Mathematics is difficult.
Give three examples of sentences which are not statements. Give reasons for the answers.
Both the diagonals of a rectangle have the same length.
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.
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.
Write the component statement of the compound statement and check whether the compound statement is true or false:
The sand heats up quickly in the sun and does not cool down fast at night.
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
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
p : Each radius of a circle is a chord of the circle.
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.
Which of the following statements are compound statements
“2 is both an even number and a prime number”
Rewrite the following statements in the form of conditional statements:
Mohan will be a good student if he studies hard.
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.
Which of the following sentences are statements? Justify
A triangle has three sides.
Find the component statements of the following compound statements.
Chennai is in India and is the capital of Tamil Nadu.
Translate the following statements into symbolic form
Rahul passed in Hindi and English.
Translate the following statements into symbolic form
Students can take Hindi or English as an optional paper.
Write down the negation of following compound statements
All rational numbers are real and complex.
Write down the negation of following compound statements
All real numbers are rationals or irrationals.
Rewrite the following statements in the form of conditional statements
The square of an odd number is odd.
Rewrite the following statements in the form of conditional statements
You will get a sweet dish after the dinner.
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.
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.
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 every natural number x, x + 1 is also a natural number.
Identify the Quantifiers in the following statements.
There exists a even prime number other than 2.
The negation of the statement “A circle is an ellipse” is ______.
The negation of the statement “72 is divisible by 2 and 3” is ______.
The negation of the statement “The product of 3 and 4 is 9” is ______.
Which of the following is not a negation of “A natural number is greater than zero”?
