Advertisements
Advertisements
Question
Rewrite the following statements in the form of conditional statements
The square of a prime number is not prime.
Solution
q is necessary for p ⇒ If any number is prime, then its square is not prime.
APPEARS IN
RELATED QUESTIONS
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.
x2 + 5 | x | + 6 = 0 has no real roots.
Find out the sentence are statement and are not. Justify your answer.
Go !
Find out the sentence are statement and are not. Justify your answer.
All real numbers are complex numbers.
Are the pair of statement are negation of each other:
The number x is not a rational number.
The number x is an irrational number.
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.
Find the component statement of the compound statement:
The sky is blue and the grass is green.
Find the component statement of the compound statement:
The earth is round or the sun is cold.
Negate of the statement :
There exists a number which is equal to its square.
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
“9 is neither an even number nor a prime number”
Which of the following statements are compound statements
“Ram and Rahim are friends”
Identify the quantifiers and write the negation of the following statements:
There exists a number which is equal to its square.
Check the validity of the statements:
r: 100 is a multiple of 4 and 5.
Check the validity of the statements:
s: 60 is a multiple of 3 or 5.
Which of the following sentences are statements? Justify
A triangle has three sides.
Which of the following sentences are statements? Justify
Sky is red.
Which of the following sentences are statements? Justify
15 + 8 > 23
Find the component statements of the following compound statements.
Plants use sunlight, water and carbon dioxide for photosynthesis.
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.
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.
For all negative integers x, x 3 is also a negative integers.
Check the validity of the following statement.
p: 125 is divisible by 5 and 7.
Which of the following is a statement?