Advertisements
Advertisements
प्रश्न
Identify the Quantifiers in the following statements.
For all real numbers x with x > 3, x 2 is greater than 9.
Advertisements
उत्तर
Quantifier means a phrase like ‘there exists’, ‘for all’ and ‘for every’ etc.
For all
APPEARS IN
संबंधित प्रश्न
By giving a counter example, show that the following statements are not true.
p: If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle.
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.
Write the negation of the statement:
The earth is round.
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.
Find the component statement of the compound statement:
All rational numbers are real and all real numbers are complex.
Find the component statement of the compound statement:
25 is a multiple of 5 and 8.
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.
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.
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.
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:
Suresh lives in Bhopal or he lives in Mumbai.
Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”
Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.
Check the validity of the statements:
s: 60 is a multiple of 3 or 5.
The negation of the statement “It is raining and weather is cold.” is ______.
Which of the following sentences are statements? Justify
0 is a complex number.
Which of the following sentences are statements? Justify
Every set is an infinite set.
Which of the following sentences are statements? Justify
Where is your bag?
Which of the following sentences are statements? Justify
sin2x + cos2x = 0
Find the component statements of the following compound statements.
Chandigarh is the capital of Haryana and U.P.
Find the component statements of the following compound statements.
Plants use sunlight, water and carbon dioxide for photosynthesis.
Write the component statements of the following compound statements and check whether the compound statement is true or false.
24 is a multiple of 4 and 6.
Write the component statements of the following compound statements and check whether the compound statement is true or false.
All living things have two eyes and two legs.
Translate the following statements into symbolic form
A number is either divisible by 2 or 3.
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 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.
Identify the Quantifiers in the following statements.
For all real numbers x and y, xy = yx.
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 “72 is divisible by 2 and 3” is ______.
Which of the following statement is a conjunction?
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?
