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प्रश्न
Identify the Quantifiers in the following statements.
There exists a statement in above statements which is not true.
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उत्तर
Quantifier means a phrase like ‘there exists’, ‘for all’ and ‘for every’ etc
There exists
APPEARS IN
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 sentence are statement and are not. Justify your answer.
Every set is a finite set.
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.
Are all circles round?
Find out the sentence are statement and are not. Justify your answer.
This sentence is a statement.
Find out the sentence are statement and are not. Justify your answer.
Mathematics is difficult.
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.
I will not go to school.
Find the component statement of the compound statement:
The earth is round or the sun is cold.
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.
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.
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
t : \[\sqrt{11}\] is a rational number.
Which of the following statements are compound statements
“2 is both an even number and a prime number”
Translate the following statements in symbolic form
Tigers are found in Gir forest or Rajaji national park.
Write negation of the statement
“Everyone who lives in India is an Indian”
Write the negation of the following statements:
q: 9 is a multiple of 4.
Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.
Rewrite the following statements in the form of conditional statements:
Mohan will be a good student if he studies hard.
Rewrite the following statements in the form of conditional statements:
When you sing, my ears hurt.
Rewrite the following statements in the form of conditional statements:
A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.
Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4
Translate the following statements in symbolic form:
If x = 7 and y = 4” then x + y = 11.
Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”
Find the component statements of the following compound statements.
Number 7 is prime and odd.
Find the component statements of the following compound statements.
Two lines in a plane either intersect at one point or they are parallel.
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
You will fail, if you will not study.
Form the biconditional statement p ↔ q, where
p: The unit digit of an integer is zero.
q: It is divisible by 5.
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.
Which of the following is not a negation of “A natural number is greater than zero”?
State whether the following sentences are statements are not.
(i) The angles opposite to equal sides of a triangle are equal.
(ii) The moon is a satellite of earth.
(iii) May God bless you!
(iv) Asia is a continent.
(v) How are you?
