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Mathematical Reasoning
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Mathematical reasoning
mathematical reasoning
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Exercise 14.1
Exercise 14.2
Exercise 14.3
Exercise 14.4
Exercise 14.5
Miscellaneous Exercise
Exercise
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
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Write each of the following statement in the form "if-then"
(i) You get a job implies that your credentials are good
(ii) The Banana trees will bloom if it stays warm for a month
(iii) A quadrilateral is a parallelogram if its diagonals bisect each other
(iv) To get
$A_{+}$
in the class it is necessary that you do the exercises of the book
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Write the contrapositive and converse of the following statements
(i) If
$x$
is a prime number then
$x$
is odd
(ii) It the two lines are parallel then they do not intersect in the same plane
(iii) Something is cold implies that it has low temperature
(iv) You cannot comprehend geometry if you do not know how to reason deductively
(v)
$x$
is an even number implies that
$x$
is divisible by
$4$
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Rewrite the following statement in five different ways conveying the same meaning.
If a natural number is odd then its square is also odd.
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