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Write the contrapositive and converse of the following statements.
If x is a prime number, then x is odd
Concept: undefined >> undefined
Write the contrapositive and converse of the following statements.
It the two lines are parallel, then they do not intersect in the same plane.
Concept: undefined >> undefined
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Write the contrapositive and converse of the following statements.
Something is cold implies that it has low temperature.
Concept: undefined >> undefined
Write the contrapositive and converse of the following statements.
You cannot comprehend geometry if you do not know how to reason deductively.
Concept: undefined >> undefined
Write the contrapositive and converse of the following statements.
x is an even number implies that x is divisible by 4
Concept: undefined >> undefined
Write each of the following statement in the form “if-then”.
You get a job implies that your credentials are good.
Concept: undefined >> undefined
Write each of the following statement in the form “if-then”.
The Banana trees will bloom if it stays warm for a month.
Concept: undefined >> undefined
Write each of the following statement in the form “if-then”.
A quadrilateral is a parallelogram if its diagonals bisect each other.
Concept: undefined >> undefined
Write each of the following statement in the form “if-then”.
To get A+ in the class, it is necessary that you do the exercises of the book.
Concept: undefined >> undefined
Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other.
(a) If you live in Delhi, then you have winter clothes.
(i) If you do not have winter clothes, then you do not live in Delhi.
(ii) If you have winter clothes, then you live in Delhi.
(b) If a quadrilateral is a parallelogram, then its diagonals bisect each other.
(i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram.
(ii) If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
Concept: undefined >> undefined
State the converse and contrapositive of each of the following statements:
p: A positive integer is prime only if it has no divisors other than 1 and itself.
Concept: undefined >> undefined
State the converse and contrapositive of each of the following statements:
q: I go to a beach whenever it is a sunny day.
Concept: undefined >> undefined
State the converse and contrapositive of each of the following statements:
r: If it is hot outside, then you feel thirsty.
Concept: undefined >> undefined
Write the statement in the form “if p, then q”.
r: You can access the website only if you pay a subscription fee.
Concept: undefined >> undefined
Re write each of the following statements in the form “p if and only if q”.
p: If you watch television, then your mind is free and if your mind is free, then you watch television.
Concept: undefined >> undefined
Re write each of the following statements in the form “p if and only if q”.
q: For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.
Concept: undefined >> undefined
Re write each of the following statements in the form “p if and only if q”.
r: If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.
Concept: undefined >> undefined
Given below are two statements
p: 25 is a multiple of 5.
q: 25 is a multiple of 8.
Write the compound statements connecting these two statements with “And” and “Or”. In both cases check the validity of the compound statement.
Concept: undefined >> undefined
If A = {1, 2, 4} and B = {1, 2, 3}, represent set graphically:
(i) A × B
Concept: undefined >> undefined
If A = {1, 2, 4} and B = {1, 2, 3}, represent set graphically:
(ii) B × A
Concept: undefined >> undefined
