Advertisements
Advertisements
Question
Form the biconditional statement p ↔ q, where
p: The unit digit of an integer is zero.
q: It is divisible by 5.
Advertisements
Solution
p ↔ q: Unit digit of an integer is zero if and only if it is divisible by 5.
APPEARS IN
RELATED QUESTIONS
Find out the sentence are statement and are not. Justify your answer.
Are all circles round?
Write the negation of the statement:
Ravish is honest.
Are the pair of statement are negation of each other:
The number x is not a rational number.
The number x is not an irrational number.
Write the negation of the statement:
r : There exists a number x such that 0 < x < 1.
Find the component statement of the compound statement:
25 is a multiple of 5 and 8.
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:
x = 2 and x = 3 are the roots or the equation 3x2 − x − 10 = 0.
Write the negation of statement:
There exists x ϵ N, x + 3 = 10
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:
p : 100 is a multiple of 4 and 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
t : \[\sqrt{11}\] is a rational number.
Write the truth value of the following statements.
(i) 9 is an even integer or 9 + 1 is even.
(ii) 2 + 4 = 6 or 2 + 4 = 7
(iii) Delhi is the capital of India and Islamabad is the capital of Pakistan.
(iv) Every rectangle is a square and every square is a rectangle
(v) The sun is a star or sun is a planet.
Write the negation of the following statements:
x + y = y + x and 29 is a prime number.
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:
Ramesh will get dessert only if he eats his dinner.
Which of the following is a statement?
Which of the following sentences are statements? Justify
Sky is red.
Which of the following sentences are statements? Justify
Every set is an infinite set.
Which of the following sentences are statements? Justify
Where is your bag?
Find the component statements of the following compound statements.
The number 100 is divisible by 3, 11 and 5.
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 real numbers are rationals or irrationals.
Rewrite the following statements in the form of conditional statements
The square of an odd number is odd.
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.
Identify the Quantifiers in the following statements.
For every natural number x, x + 1 is also a natural number.
Identify the Quantifiers in the following statements.
There exists a triangle which is not an isosceles triangle.
Check the validity of the following statement.
p: 125 is divisible by 5 and 7.
The connective in the statement “Earth revolves round the Sun and Moon is a satellite of earth” is ______.
The negation of the statement “Plants take in CO2 and give out O2 ” is ______.
