Advertisements
Advertisements
Question
Rewrite the following statements in the form of conditional statements
You will fail, if you will not study.
Solution
p only if q ⇒ If you do not study, then you will fail.
APPEARS IN
RELATED QUESTIONS
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.
Find out the sentence are statement and are not. Justify your answer.
All triangles have three sides.
Find out the sentence are statement and are not. Justify your answer.
The real number x is less than 2.
Give three examples of sentences which are not statements. Give reasons for the answers.
All birds sing.
I will not go to school.
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 the component statement of the compound statement and check whether the compound statement is true or false:
All rational numbers are real and all real numbers are not complex.
Check the validity of the statement:
p : 100 is a multiple of 4 and 5.
Determine whether the argument used to check the validity of the following statement is correct:
p : "If x2 is irrational, then x is rational"
The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.
Translate the following statements in symbolic form
2 and 3 are prime numbers
Write the negation of the following statements:
x + y = y + x and 29 is a prime number.
Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4
Translate the following statements in symbolic form:
If x = 7 and y = 4” then x + y = 11.
Check the validity of the statements:
r: 100 is a multiple of 4 and 5.
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.
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.
24 is a multiple of 4 and 6.
Translate the following statements into symbolic form
Rahul passed in Hindi and English.
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
|x| is equal to either x or – x.
Rewrite the following statements in the form of conditional statements
The unit digit of an integer is 0 or 5 if it is divisible by 5.
Form the biconditional statement p ↔ q, where
p: A natural number n is odd.
q: Natural number n is not divisible by 2.
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.
There exists a triangle which is not an isosceles triangle.
Check the validity of the following statement.
q: 131 is a multiple of 3 or 11
The negation of the statement “Plants take in CO2 and give out O2 ” is ______.