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Question

Mark the correct answer in each of the following:
The converse of the statement "If x > y, then x + a > y + a", is
(a) If x < y, then x + a < y + a
(b) If x + a > y + a, then x > y
(c) If x < y, then x + a > y + a
(d) If x > y, then x + a < y + a

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Solution

For the statement;
p: ''If x > y, then x + a > y + a''
i.e. x > y ⇒ x + a > y + a
Converse of p is
x + a > y + a ⇒ x > y
i.e. If x + a > y + a then x > y

Hence, the correct answer is option B.

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