Proof by contraposition
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Proof by contraposition

[From: ] [author: ] [Date: 11-06-13] [Hit: ]
Let x, y be real numbers such that x ≥ 25 and y ≥ 25.Then, x + y ≥ 25 + 25 = 50, as required.I hope this helps!......
If a sum of two real numbers is less than 50, then at least one of the numbers is less than 25.

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First, we write the contrapositive of the statement to be proved:
"If both real numbers are at least 25, then their sum is at least 50."
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This is easy to prove.

Let x, y be real numbers such that x ≥ 25 and y ≥ 25.
Then, x + y ≥ 25 + 25 = 50, as required.

I hope this helps!
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