Advertisements
Advertisements
प्रश्न
Rewrite the following statements in the form of conditional statements:
A sufficient condition for Tara to visit New Delhi is that she goes to the Rashtrapati Bhawan.
Advertisements
उत्तर
The given statement is of the form “p is sufficient for q” where
p: Tara goes to Rashtrapati Bhawan
q: She visits New Delhi
Which is an equivalent form (Remark (d) 14.1.12) of “if p, then q”,
So the equivalent formulation of the given statement is
“If Tara goes to Rashtrapati Bhawan, then she visits New Delhi”.
APPEARS IN
संबंधित प्रश्न
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.
x2 + 5 | x | + 6 = 0 has no real roots.
Find out the sentence are statement and are not. Justify your answer.
Go !
Find out the sentence are statement and are not. Justify your answer.
There are 35 days in a month.
Find out the sentence are statement and are not. Justify your answer.
All real numbers are complex numbers.
I will not go to school.
Write the negation of the statement:
r : There exists a number x such that 0 < x < 1.
Find the component statement of the compound statement:
All rational numbers are real and all real numbers are 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.
Negate statement:
All the students completed their homework.
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:
q : 125 is a multiple of 5 and 7.
Which of the following statements are compound statements
“2 is both an even number and a prime number”
Which of the following statements are compound statements
“Ram and Rahim are friends”
Write the negation of the following statements:
p: All triangles are equilateral triangles.
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.
Which of the following sentences are statements? Justify
Sky is red.
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.
Find the component statements of the following compound statements.
The number 100 is divisible by 3, 11 and 5.
Find the component statements of the following compound statements.
Two lines in a plane either intersect at one point or they are parallel.
Translate the following statements into symbolic form
Rahul passed in Hindi and English.
Translate the following statements into symbolic form
2, 3 and 6 are factors of 12
Translate the following statements into symbolic form
A number is either divisible by 2 or 3.
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.
Identify the Quantifiers in the following statements.
There exists a triangle which is not equilateral.
Identify the Quantifiers in the following statements.
For all real numbers x and y, xy = yx.
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.
For all negative integers x, x 3 is also a negative integers.
Which of the following is not a statement>
The negation of the statement “7 is greater than 8” is ______.
Which of the following is the conditional p → q?
Which of the following is not a negation of “A natural number is greater than zero”?
