Advertisements
Advertisements
प्रश्न
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.
विकल्प
True
False
उत्तर
This statement is True.
Explanation:
Here, the given statement is of the form p ∧ q which has the truth value T whenever both p and q have the truth value T.
Hence, it is a true statement and its component statements are:
p: 24 is a multiple of 4. ......(True)
q: 24 is a multiple of 6. ......(True)
APPEARS IN
संबंधित प्रश्न
Show that the statement “For any real numbers a and b, a2 = b2 implies that a = b” is not true by giving a counter-example.
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.
Are all circles round?
Find out the sentence are statement and are not. Justify your answer.
This sentence is a statement.
Find out the sentence are statement and are not. Justify your answer.
The real number x is less than 2.
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.
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 entry a country, you need a passport or a voter registration card.
Write of the statement in the form "if p, then q".
There is traffic jam whenever it rains.
Write of the statement in the form "if p, then q".
It rains only if it is cold.
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.
Rewrite the following statements in the form of conditional statements:
When you sing, my ears hurt.
Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.
The negation of the statement “It is raining and weather is cold.” is ______.
Which of the following sentences are statements? Justify
Every square is a rectangle.
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.
A rectangle is a quadrilateral or a 5-sided polygon.
Write the component statements of the following compound statements and check whether the compound statement is true or false.
57 is divisible by 2 or 3.
Translate the following statements into symbolic form
x and y are even integers.
Write down the negation of following compound statements
|x| is equal to either x or – x.
Rewrite the following statements in the form of conditional statements
The square of an odd number is odd.
Form the biconditional statement p ↔ q, where
p: A triangle is an equilateral triangle.
q: All three sides of a triangle are equal.
Identify the Quantifiers in the following statements.
For all real numbers x and y, xy = yx.
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 ______.
