Advertisements
Advertisements
Question
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.
Advertisements
Solution
p is sufficient for q ⇒ If an integer is divisible by 5, then its unit digits are 0 or 5.
APPEARS IN
RELATED QUESTIONS
Show that the following statement is true by the method of contrapositive.
p: If x is an integer and x2 is even, then x is also even.
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.
Every rhombus is a square.
Find out the sentence are statement and are not. Justify your answer.
Is the earth round?
Write the negation of the statement:
It rained on July 4, 2005.
Write the negation of the statement:
Ravish is honest.
Some even integers are prime.
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.
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:
Square of an integer is positive or negative.i
Determine whether the compound statement are true or false:
Delhi is in England and 2 + 2 = 4.
Write the negation of statement:
There exists x ϵ N, x + 3 = 10
Write of the statement in the form "if p, then q".
The game is cancelled only if it is raining.
Write of the statement in the form "if p, then q".
It never rains when it is cold.
Check the validity of the statement:
q : 125 is a multiple of 5 and 7.
statement are true and false? In each case give a valid reason for saying so
s : If x and y are integers such that x > y, then − x < − y.
Write the negation of the following statements:
q: 9 is a multiple of 4.
Rewrite the following statements in the form of conditional statements:
Ramesh will get dessert only if he eats his dinner.
Express in English, the statement p → q, where
p: It is raining today
q: 2 + 3 > 4
Form the biconditional of the following statements :
p: Today is 14th of August
q: Tomorrow is Independence day
Translate the following biconditional into symbolic form:
“ABC is an equilateral triangle if and only if its each interior angle is 60°”
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:
s: 60 is a multiple of 3 or 5.
Which of the following is a statement?
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
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.
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.
2 is an even number and a prime number.
Translate the following statements into symbolic form
Students can take Hindi or English as an optional paper.
Write down the negation of following compound statements
All prime integers are either even or odd.
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
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.
The connective in the statement “2 + 7 > 9 or 2 + 7 < 9” is ______.
Which of the following is the conditional p → q?
