Advertisements
Advertisements
Question
Find the component statements of the following compound statements.
`sqrt(7)` is a rational number or an irrational number.
Advertisements
Solution
p: `sqrt(7)` is a rational number.
q: `sqrt(7)` is an irrational number.
APPEARS IN
RELATED QUESTIONS
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.
The product of (−1) and 8 is 8.
Both the diagonals of a rectangle have the same length.
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:
q : For every real number x, either x > 1 or x < 1.
Find the component statement of the compound statement:
The sky is blue and the grass is green.
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 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 never rains when it is cold.
Check the validity of the statement:
p : 100 is a multiple of 4 and 5.
Which of the following statements are compound statements
“2 is both an even number and a prime number”
Identify the component statements and the connective in the following compound statements.
2 is a positive number or a negative number.
Translate the following statements in symbolic form
2 and 3 are prime numbers
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 negation of the statement
“Everyone who lives in India is an Indian”
Write the negation of the following statements:
p: All triangles are equilateral triangles.
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.
Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.
Which of the following sentences are statements? Justify
y + 9 = 7.
Find the component statements of the following compound statements.
Chennai is in India and is the capital of Tamil Nadu.
Find the component statements of the following compound statements.
Two lines in a plane either intersect at one point or they are parallel.
Find the component statements of the following compound statements.
A rectangle is a quadrilateral or a 5-sided polygon.
Translate the following statements into symbolic form
Rahul passed in Hindi and English.
Translate the following statements into symbolic form
2, 3 and 6 are factors of 12
Translate the following statements into symbolic form
Either x = 2 or x = 3 is a root of 3x 2 – x – 10 = 0
Write down the negation of following compound statements
All rational numbers are real and complex.
Write down the negation of following compound statements
All real numbers are rationals or irrationals.
Write down the negation of following compound statements
A triangle has either 3-sides or 4-sides.
Write down the negation of following compound statements
All prime integers are either even or odd.
Write down the negation of following compound statements
|x| is equal to either x or – x.
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.
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.
Identify the Quantifiers in the following statements.
There exists a statement in above statements which is not true.
Identify the Quantifiers in the following statements.
There exists a even prime number other than 2.
Which of the following is not a statement>
The negation of the statement “Rajesh or Rajni lived in Bangalore” is ______.
