Advertisements
Advertisements
प्रश्न
Translate the following statements into symbolic form
Rahul passed in Hindi and English.
Advertisements
उत्तर
p: Rahul passed in Hindi.
q: Rahul passed in English
p ∧ q: Rahul passed in Hindi and English.
APPEARS IN
संबंधित प्रश्न
Find out the sentence are statement and are not. Justify your answer.
The real number x is less than 2.
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.
The product of (−1) and 8 is 8.
Give three examples of sentences which are not statements. Give reasons for the answers.
Write the negation of the statement:
Ravish is honest.
Write the negation of the statement:
The earth is round.
Write the negation of the statement:
The sun is cold.
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:
All rational numbers are real and all real numbers are complex.
Write of the statement in the form "if p, then q".
You can access the website only if you pay a subscription fee.
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
s : If x and y are integers such that x > y, then − x < − y.
Which of the following statements are compound statements
“2 is both an even number and a prime number”
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 sufficient condition for Tara to visit New Delhi is that she goes to the Rashtrapati Bhawan.
Which of the following sentences are statements? Justify
0 is a complex number.
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 the component statements of the following compound statements and check whether the compound statement is true or false.
57 is divisible by 2 or 3.
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.
Translate the following statements into symbolic form
A number is either divisible by 2 or 3.
Write down the negation of following compound statements
|x| is equal to either x or – x.
Write down the negation of following compound statements
6 is divisible by 2 and 3.
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.
Rewrite the following statements in the form of conditional statements
2b = a + c, if a, b and c are in A.P.
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 real numbers x with x > 3, x 2 is greater than 9.
Check the validity of the following statement.
p: 125 is divisible by 5 and 7.
Check the validity of the following statement.
q: 131 is a multiple of 3 or 11
Which of the following is a statement?
The connective in the statement “Earth revolves round the Sun and Moon is a satellite of earth” is ______.
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?
