Advertisements
Advertisements
प्रश्न
The negation of the statement “Plants take in CO2 and give out O2 ” is ______.
विकल्प
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
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
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.
The cat pussy is black.
Find out the sentence are statement and are not. Justify your answer.
The real number x is less than 2.
All birds sing.
All policemen are thieves.
Find the component statement of the compound statement:
The sky is blue and the grass is green.
For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.
A lady gives birth to a baby boy or a baby girl.
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.
statement are true and false? In each case give a valid reason for saying so
r : Circle is a particular case of an ellipse.
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:
x + y = y + x and 29 is a prime number.
Translate the following statements in symbolic form:
If x = 7 and y = 4” then x + y = 11.
Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.
Which of the following is a statement?
Which of the following sentences are statements? Justify
Sky is red.
Which of the following sentences are statements? Justify
Every square is a rectangle.
Write down the negation of following compound statements
35 is a prime number or a composite number
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.
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.
Identify the Quantifiers in the following statements.
There exists a real number x such that x2 + 1 = 0.
Which of the following is a statement?
Which of the following is the conditional p → q?
