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!
"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!