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Question
The converse of the statement “If x > y, then x + a > y + a” is ______.
Options
If x < y, then x + a < y + a
If x + a > y + a, then x > y
If x < y, then x + a > y + a
If x < y, then x + a > y + a
Solution
The converse of the statement “If x > y, then x + a > y + a” is if x + a > y + a, then x > y.
Explanation:
Let p: x > y
and q: x + a > y + a
p → q
Converse of the above statement is q → p.
Therefore, if x + a > y + a then x > y.
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