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प्रश्न
Write of the statement in the form "if p, then q".
It is necessary to be rich in order to be happy.
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उत्तर
If you want to be happy, then you will have to be rich.
संबंधित प्रश्न
Show that the statement “For any real numbers a and b, a2 = b2 implies that a = b” is not true by giving a counter-example.
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.
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.
Every set is a finite set.
Find out the sentence are statement and are not. Justify your answer.
Every rhombus is a square.
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.
This sentence is a statement.
Write the negation of the statement:
Banglore is the capital of Karnataka.
Some even integers are prime.
There is a complex number which is not a real number.
Write the negation of the statement:
p : For every positive real number x, the number (x − 1) is also positive.
Write the negation of the statement:
q : For every real number x, either x > 1 or 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.
For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.
To entry a country, you need a passport or a voter registration card.
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.
Determine whether the compound statement are true or false:
Delhi is in England and 2 + 2 = 4.
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".
Whenever it rains it is cold.
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.
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.
Translate the following statements in symbolic form:
If x = 7 and y = 4” then x + y = 11.
Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day
Which of the following is a statement?
Which of the following sentences are statements? Justify
A triangle has three sides.
Which of the following sentences are statements? Justify
Every set is an infinite set.
Which of the following sentences are statements? Justify
15 + 8 > 23
Find the component statements of the following compound statements.
Plants use sunlight, water and carbon dioxide for photosynthesis.
Write down the negation of following compound statements
All rational numbers are real and complex.
Write down the negation of following compound statements
All prime integers are either even or odd.
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
You will fail, if you will not study.
Rewrite the following statements in the form of conditional statements
The square of a prime number is not prime.
Identify the Quantifiers in the following statements.
There exists a triangle which is not equilateral.
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.
q: 131 is a multiple of 3 or 11
The negation of the statement “7 is greater than 8” is ______.
