Advertisements
Advertisements
Question
Which of the following statements are compound statements
“9 is neither an even number nor a prime number”
Advertisements
Solution
The given statement can be broken into two simple statements “9 is not an even number” and “9 is not a prime number” and connected by the connective ‘and’
APPEARS IN
RELATED QUESTIONS
Find out the sentence are statement and are not. Justify your answer.
There are 35 days in a month.
Write the negation of the statement:
Banglore is the capital of Karnataka.
Write the negation of the statement:
It rained on July 4, 2005.
There is a complex number which is not a real number.
I will not go to school.
Both the diagonals of a rectangle have the same length.
All policemen are thieves.
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:
All rational numbers are real and all real numbers are complex.
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 of the statement in the form "if p, then q".
It rains only if it is cold.
Write the negation of the following statements:
p: All triangles are equilateral triangles.
Rewrite the following statements in the form of conditional statements:
Mohan will be a good student if he studies hard.
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
Every set is an infinite set.
Which of the following sentences are statements? Justify
15 + 8 > 23
Which of the following sentences are statements? Justify
Every square is a rectangle.
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.
Number 7 is prime and odd.
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.
Translate the following statements into symbolic form
Either x or x + 1 is an odd integer.
Translate the following statements into symbolic form
A number is either divisible by 2 or 3.
Write down the negation of following compound statements
x = 2 and x = 3 are roots of the Quadratic equation x2 – 5x + 6 = 0.
Write down the negation of following compound statements
A triangle has either 3-sides or 4-sides.
Rewrite the following statements in the form of conditional statements
2b = a + c, if a, b and c are in A.P.
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 and y, xy = yx.
Identify the Quantifiers in the following statements.
There exists a real number which is not a rational number.
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.
For all real numbers x with x > 3, x 2 is greater than 9.
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
Which of the following is a statement?
The connective in the statement “Earth revolves round the Sun and Moon is a satellite of earth” is ______.
The negation of the statement “A circle is an ellipse” is ______.
