Advertisements
Advertisements
प्रश्न
The negation of the statement “Plants take in CO2 and give out O2 ” is ______.
पर्याय
Plants do not take in CO2 and do not give out O2
Plants do not take in CO2 or do not give out O2
Plants take in CO2 and do not give out O2
Plants take in CO2 or do not give out O2
Advertisements
उत्तर
The negation of the statement “Plants take in CO2 and give out O2 ” is plants do not take in CO2 or do not give out O2.
Explanation:
Let p: Plants take in CO2 and give out O2.
q: Plants take in CO2.
And r: Plants give out O2.
~ q: Plants do not take in CO2.
~ r: Plants do not give out O2.
∴ ~ (q ∨ r) = (~ q ∧ ~ r) : Plants do not take in CO2 or do not give out O2.
APPEARS IN
संबंधित प्रश्न
Show that the statement
p: “If x is a real number such that x3 + 4x = 0, then x is 0” is true by
(i) direct method
(ii) method of contradiction
(iii) method of contrapositive
Find out the following sentence is a statement and is not. Justify your answer.
Listen to me, Ravi !
Find out the sentence are statement and are not. Justify your answer.
All triangles have three sides.
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.
Write the negation of the statement:
Ravish is honest.
Write the negation of the statement:
The earth is round.
Both the diagonals of a rectangle have the same length.
Write the negation of the statement:
r : There exists a number x such that 0 < x < 1.
Check whether the following pair of statements are negation of each other. Give reasons for your answer.
a + b = b + a is true for every real number a and b.
There exist real numbers a and b for which a + b = b + a.
Find the component statement of the compound statement:
The sky is blue and the grass is green.
Write the component statement of the compound statement and check whether the compound statement is true or false:
All rational numbers are real and all real numbers are not 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.
Write the negation of statement:
There exists x ϵ N, x + 3 = 10
Write of the statement in the form "if p, then q".
It is necessary to have a passport to log on to the server.
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.
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:
If x = 7 and y = 4” then x + y = 11.
Check the validity of the statements:
s: 60 is a multiple of 3 or 5.
Which of the following sentences are statements? Justify
A triangle has three sides.
Which of the following sentences are statements? Justify
y + 9 = 7.
Find the component statements of the following compound statements.
Chennai is in India and is the capital of Tamil Nadu.
Find the component statements of the following compound statements.
Chandigarh is the capital of Haryana and U.P.
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.
All living things have two eyes and two legs.
Translate the following statements into symbolic form
Rahul passed in Hindi and English.
Translate the following statements into symbolic form
x and y are even integers.
Translate the following statements into symbolic form
2, 3 and 6 are factors of 12
Write down the negation of following compound statements
35 is a prime number or a composite number
Rewrite the following statements in the form of conditional statements
The square of a prime number is not prime.
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.
For every natural number x, x + 1 is also a natural number.
Check the validity of the following statement.
q: 131 is a multiple of 3 or 11
The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.
Which of the following is the conditional p → q?
