The counterexample of the statement "the difference of two numbers is greater than the greater number if the smaller number is greater than twice the additive inverse of the greater number"
The statement is given as: "the difference of two numbers less than the greater number"
Let the numbers be x and y, where x > y.
So, the interpretation of the statement is:
x - y < x
Add x to both sides
-y < 2x
Rewrite as:
y > -2x
This means that the statement is true only when the smaller number is greater than twice the additive inverse of the greater number
Hence, the counterexample of the statement "the difference of two numbers is greater than the greater number if the smaller number is greater than twice the additive inverse of the greater number"
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