Advertisements
Advertisements
Question
Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”
Advertisements
Solution
Let p: ABC is an equilateral triangle
And q: Each interior angle of triangle ABC is 60°
Then the given statement in symbolic form is p ↔ q.
APPEARS IN
RELATED QUESTIONS
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.
Find out the following sentence is a statement and is not. Justify your answer.
Listen to me, Ravi !
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.
The cat pussy is black.
Find out the sentence are statement and are not. Justify your answer.
Is the earth round?
Find out the sentence are statement and are not. Justify your answer.
Mathematics is difficult.
Find out the sentence are statement and are not. Justify your answer.
The product of (−1) and 8 is 8.
Write the negation of the statement:
q : For every real number x, either x > 1 or x < 1.
Determine whether the compound statement are true or false:
Delhi is in India and 2 + 2 = 5.
Determine whether the compound statement are true or false:
Delhi is in England and 2 + 2 =5.
Write of the statement in the form "if p, then q".
Whenever it rains it is cold.
Write of the statement in the form "if p, then q".
It never rains when it is cold.
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.
Which of the following statements are compound statements
“Ram and Rahim are friends”
Identify the component statements and the connective in the following compound statements.
2 is a positive number or a negative number.
Write the negation of the following statements:
r: A triangle has four sides.
Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.
Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day
Check the validity of the statements:
r: 100 is a multiple of 4 and 5.
Which of the following is a statement?
Which of the following sentences are statements? Justify
0 is a complex number.
Which of the following sentences are statements? Justify
15 + 8 > 23
Which of the following sentences are statements? Justify
Every square is a rectangle.
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.
24 is a multiple of 4 and 6.
Write the component statements of the following compound statements and check whether the compound statement is true or false.
All living things have two eyes and two legs.
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.
Translate the following statements into symbolic form
Either x or x + 1 is an odd integer.
Write down the negation of following compound statements
35 is a prime number or a composite number
Rewrite the following statements in the form of conditional statements
You will fail, if you will not study.
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.
There exists a triangle which is not equilateral.
Identify the Quantifiers in the following statements.
For every natural number x, x + 1 is also a natural number.
The connective in the statement “Earth revolves round the Sun and Moon is a satellite of earth” is ______.
