Advertisements
Advertisements
प्रश्न
Write the component statement of the compound statement and check whether the compound statement is true or false:
Square of an integer is positive or negative.i
Advertisements
उत्तर
The component statements of the given compound statement are:
1) Square of an integer is positive.
2) Square of an integer is negative.
The compound statement is true because the first statement is true. Since the connective used is "or" and one of the component statements is true, the compound statement is true.
APPEARS IN
संबंधित प्रश्न
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.
All triangles have three sides.
Write the negation of the statement:
Banglore is the capital of Karnataka.
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:
25 is a multiple of 5 and 8.
Determine whether the compound statement are true or false:
Delhi is in England and 2 + 2 = 4.
Determine whether the compound statement are true or false:
Delhi is in India and 2 + 2 = 5.
Negate statement:
All the students completed their homework.
Write of the statement in the form "if p, then q".
You can access the website only if you pay a subscription fee.
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".
The game is cancelled only if it is raining.
Check the validity of the statement:
q : 125 is a multiple of 5 and 7.
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
r : Circle is a particular case of an ellipse.
Which of the following statements are compound statements
“9 is neither an even number nor a prime number”
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”
Write the negation of the following statements:
q: 9 is a multiple of 4.
Rewrite the following statements in the form of conditional statements:
Mohan will be a good student if he studies hard.
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.
Identify the quantifiers and write the negation of the following statements:
For all even integers x, x2 is also even.
Which of the following sentences are statements? Justify
y + 9 = 7.
Which of the following sentences are statements? Justify
Every square is a rectangle.
Which of the following sentences are statements? Justify
sin2x + cos2x = 0
Find the component statements of the following compound statements.
A rectangle is a quadrilateral or a 5-sided polygon.
Translate the following statements into symbolic form
2, 3 and 6 are factors of 12
Write down the negation of following compound statements
All rational numbers are real and complex.
Form the biconditional statement p ↔ q, where
p: A natural number n is odd.
q: Natural number n is not divisible by 2.
Identify the Quantifiers in the following statements.
For all real numbers x with x > 3, x 2 is greater than 9.
Identify the Quantifiers in the following statements.
There exists a even prime number other than 2.
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
The connective in the statement “Earth revolves round the Sun and Moon is a satellite of earth” is ______.
The negation of the statement “7 is greater than 8” is ______.
The negation of the statement “72 is divisible by 2 and 3” is ______.
