Advertisements
Advertisements
प्रश्न
Translate the following statements into symbolic form
Students can take Hindi or English as an optional paper.
Advertisements
उत्तर
p: Hindi is the optional paper.
q: English is the optional paper.
p ∨ q: Either Hindi or English is optional paper.
APPEARS IN
संबंधित प्रश्न
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.
Write the negation of the statement:
The sun is cold.
There is a complex number which is not a real number.
Are the pair of statement are negation of each other:
The number x is not a rational number.
The number x is an irrational number.
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 apply for a driving licence, you should have a ration card or a passport.
Determine whether the compound statement are true or false:
Delhi is in India 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".
It is necessary to have a passport to log on to the server.
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:
q : 125 is a multiple of 5 and 7.
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.
Identify the component statements and the connective in the following compound statements.
It is raining or the sun is shining.
Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.
Rewrite the following statements in the form of conditional statements:
A necessary condition for Indian team to win a cricket match is that the selection committee selects an all-rounder.
Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4
Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”
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
Sky is red.
Which of the following sentences are statements? Justify
15 + 8 > 23
Which of the following sentences are statements? Justify
Sum of opposite angles of a cyclic quadrilateral is 180°.
Find the component statements of the following compound statements.
Chandigarh is the capital of Haryana and U.P.
Find the component statements of the following compound statements.
Two lines in a plane either intersect at one point or they are parallel.
Translate the following statements into symbolic form
Rahul passed in Hindi and English.
Translate the following statements into symbolic form
x and y are even integers.
Translate the following statements into symbolic form
A number is either divisible by 2 or 3.
Rewrite the following statements in the form of conditional statements
You will get a sweet dish after the dinner.
Rewrite the following statements in the form of conditional statements
The unit digit of an integer is 0 or 5 if it is divisible by 5.
Form the biconditional statement p ↔ q, where
p: The unit digit of an integer is zero.
q: It is divisible by 5.
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.
Which of the following is a statement?
Which of the following is not a statement>
The negation of the statement “101 is not a multiple of 3” is ______.
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?
