Advertisements
Advertisements
प्रश्न
Write the negation of the statement:
r : There exists a number x such that 0 < x < 1.
Advertisements
उत्तर
r: There exists a number x such that 0 < x < 1.
~r: For every real number x, either \[x \leq 0\] or \[x < 1\] .
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.
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.
Is the earth round?
Find out the sentence are statement and are not. Justify your answer.
The real number x is less than 2.
Some even integers are prime.
I will not go to school.
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.
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.
Write the negation of the statement:
p : For every positive real number x, the number (x − 1) is also positive.
Find the component statement of the compound statement:
The sky is blue and the grass is green.
Find the component statement of the compound statement:
25 is a multiple of 5 and 8.
Determine whether the compound statement are true or false:
Delhi is in India and 2 + 2 = 4.
Negate statement:
All the students completed their homework.
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.
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 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:
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
Check the validity of the statements:
r: 100 is a multiple of 4 and 5.
Check the validity of the statements:
s: 60 is a multiple of 3 or 5.
Which of the following is a statement?
Which of the following sentences are statements? Justify
0 is a complex number.
Which of the following sentences are statements? Justify
Sky is red.
Which of the following sentences are statements? Justify
Every set is an infinite set.
Which of the following sentences are statements? Justify
y + 9 = 7.
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.
Two lines in a plane either intersect at one point or they are parallel.
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.
Write down the negation of following compound statements
A triangle has either 3-sides or 4-sides.
Rewrite the following statements in the form of conditional statements
2b = a + c, if a, b and c are in A.P.
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.
There exists a real number which is not a rational number.
The negation of the statement “Plants take in CO2 and give out O2 ” is ______.
Which of the following is not a negation of “A natural number is greater than zero”?
