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प्रश्न
Find out the sentence are statement and are not. Justify your answer.
Every set is a finite set.
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उत्तर
Every set is a finite set.
It is a false assertive sentence because there are some sets that are infinite like the set of all real numbers. Therefore, it is a statement.
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.
Go !
Write the negation of the statement:
It rained on July 4, 2005.
Are the pair of statement are negation of each other:
The number x is not a rational number.
The number x is not an irrational number.
Write the negation of the statement:
q : For every real number x, either x > 1 or x < 1.
Write the component statement of the compound statement and check whether the compound statement is true or false:
x = 2 and x = 3 are the roots or the equation 3x2 − x − 10 = 0.
Write the negation of statement:
There exists x ϵ N, x + 3 = 10
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".
It is necessary to be rich in order to be happy.
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.
Identify the component statements and the connective in the following compound statements.
It is raining or the sun is shining.
Translate the following statements in symbolic form
2 and 3 are prime numbers
Translate the following statements in symbolic form
Tigers are found in Gir forest or Rajaji national park.
Write the truth value of the following statements.
(i) 9 is an even integer or 9 + 1 is even.
(ii) 2 + 4 = 6 or 2 + 4 = 7
(iii) Delhi is the capital of India and Islamabad is the capital of Pakistan.
(iv) Every rectangle is a square and every square is a rectangle
(v) The sun is a star or sun is a planet.
Write the negation of the following statements:
r: A triangle has four sides.
Rewrite the following statements in the form of conditional statements:
Mohan will be a good student if he studies hard.
Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4
Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day
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
y + 9 = 7.
Which of the following sentences are statements? Justify
Every square is a rectangle.
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
Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0
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 prime integers are either even or odd.
Write down the negation of following compound statements
|x| is equal to either x or – x.
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
The unit digit of an integer is 0 or 5 if 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 statement in above statements which is not true.
Which of the following is not a statement>
The negation of the statement “7 is greater than 8” is ______.
The negation of the statement “Rajesh or Rajni lived in Bangalore” is ______.
