Advertisements
Advertisements
Question
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.
Options
True
False
Solution
This statement is True.
Explanation:
Here the given statement is the form p v q which has the truth value T whenever either p or q or both have the truth value T.
Hence, it is a true statement and its component statements are
p: 57 is divisible by 2. ......(False)
q: 57 is divisible by 3. ......(True)
APPEARS IN
RELATED QUESTIONS
Find out the sentence are statement and are not. Justify your answer.
The product of (−1) and 8 is 8.
Find the component statement of the compound statement:
The earth is round or the sun is cold.
For statement, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer.
Students can take Hindi or Sanskrit as their third language.
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 is necessary to have a passport to log on to the server.
Which of the following statements are compound statements
“Ram and Rahim are friends”
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.
Write the negation of the following statements:
r: A triangle has four sides.
Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day
Identify the quantifiers and write the negation of the following statements:
There exists a number which is a multiple of 6 and 9.
Check the validity of the statements:
r: 100 is a multiple of 4 and 5.
Which of the following sentences are statements? Justify
A triangle has three sides.
Which of the following sentences are statements? Justify
Every square is a rectangle.
Find the component statements of the following compound statements.
Number 7 is prime and odd.
Find the component statements of the following compound statements.
0 is less than every positive integer and every negative integer.
Find the component statements of the following compound statements.
Plants use sunlight, water and carbon dioxide for photosynthesis.
Find the component statements of the following compound statements.
Two lines in a plane either intersect at one point or they are parallel.
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
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 an isosceles triangle.
Check the validity of the following statement.
p: 125 is divisible by 5 and 7.
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 ______.
The negation of the statement “7 is greater than 8” is ______.