Advertisements
Advertisements
प्रश्न
Write of the statement in the form "if p, then q".
It never rains when it is cold.
Advertisements
उत्तर
If it is cold, then it never rains.
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 sentence are statement and are not. Justify your answer.
Two non-empty sets have always a non-empty intersection.
Find out the sentence are statement and are not. Justify your answer.
This sentence is a statement.
Find out the sentence are statement and are not. Justify your answer.
There are 35 days in a month.
Give three examples of sentences which are not statements. Give reasons for the answers.
Write the negation of the statement:
The sun is cold.
Write the negation of the statement:
p : For every positive real number x, the number (x − 1) is also positive.
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.
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.
Determine whether the compound statement are true or false:
Delhi is in India and 2 + 2 = 4.
Determine whether the compound statement are true or false:
Delhi is in England and 2 + 2 = 4.
Write the negation of statement:
For every x ϵ N, x + 3 < 10
Write the negation of statement:
There exists x ϵ N, x + 3 = 10
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 rains only if it is cold.
Write of the statement in the form "if p, then q".
Whenever it rains it is cold.
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:
x + y = y + x and 29 is a prime number.
Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day
Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.
Find the component statements of the following compound statements.
Chennai is in India and is the capital of Tamil Nadu.
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.
2 is an even number and a prime number.
Translate the following statements into symbolic form
Rahul passed in Hindi and English.
Write down the negation of following compound statements
All rational numbers are real and complex.
Rewrite the following statements in the form of conditional statements
You will get a sweet dish after the dinner.
Form the biconditional statement p ↔ q, where
p: A natural number n is odd.
q: Natural number n is not divisible by 2.
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 triangle which is not equilateral.
Identify the Quantifiers in the following statements.
There exists a statement in above statements which is not true.
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
State whether the following sentences are statements are not.
(i) The angles opposite to equal sides of a triangle are equal.
(ii) The moon is a satellite of earth.
(iii) May God bless you!
(iv) Asia is a continent.
(v) How are you?
