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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)     If 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.

Text Solution

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(i) If x is a prime number, then x is odd.
Contrapositive:If x is not an odd number,then x is not a prime number.
Converse:If is an odd number, then it is a prime number.
(ii) If the two lines are parallel, then they do not intersect in the same plane.
Contrapositive:If the two lines intersect in the same plane, then they are not parallel.
Converse:If the two lines do not intersect in the same plane then two lines are parallel. (iii)Something is cold implies that it has low temperature.
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