Advertisements
Advertisements
प्रश्न
Write down the negation of following compound statements
35 is a prime number or a composite number
Advertisements
उत्तर
p: 35 is a prime number.
q: 35 is a composite number.
The negation of the above statements is
~ (p ∨ q) = (~ p ∧ ~ q): 35 is not a prime number and it is not a composite number.
APPEARS IN
संबंधित प्रश्न
Show that the following statement is true by the method of contrapositive.
p: If x is an integer and x2 is even, then x is also even.
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.
Are all circles round?
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.
Is the earth round?
Find out the sentence are statement and are not. Justify your answer.
The real number x is less than 2.
Both the diagonals of a rectangle have the same length.
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 earth is round or the sun is cold.
Negate statement:
All the students completed their homework.
Write of the statement in the form "if p, then q".
There is traffic jam whenever it rains.
Write of the statement in the form "if p, then q".
It is necessary to be rich in order to be happy.
Check the validity of the statement:
r : 60 is a multiple of 3 or 5.
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
q : The centre of a circle bisects each chord of the circle.
statement are true and false? In each case give a valid reason for saying so
r : Circle is a particular case of an ellipse.
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”
Identify the component statements and the connective in the following compound statements.
It is raining or the sun is shining.
Write negation of the statement
“Everyone who lives in India is an Indian”
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.
Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day
Check the validity of the statements:
r: 100 is a multiple of 4 and 5.
The negation of the statement “It is raining and weather is cold.” is ______.
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
Where is your bag?
Which of the following sentences are statements? Justify
Every square is a rectangle.
Translate the following statements into symbolic form
x and y are even integers.
Translate the following statements into symbolic form
Either x or x + 1 is an odd integer.
Translate the following statements into symbolic form
Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0
Translate the following statements into symbolic form
Students can take Hindi or English as an optional paper.
Rewrite the following statements in the form of conditional statements
You will get a sweet dish after the dinner.
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 ______.
The negation of the statement “A circle is an ellipse” is ______.
The negation of the statement “Plants take in CO2 and give out O2 ” is ______.
The negation of the statement “101 is not a multiple of 3” is ______.
