An example that contradicts the conjecture showing that the conjecture is not always true is known as a counterexample.
Finding one instance when a mathematical assertion is wrong suffices to demonstrate its falsity. An example like this is referred to as a counterexample since it contradicts or goes against the conclusion of the assertion.
These actions should be taken when locating a counterexample. Identify the statement's condition and conclusion. Discard options that don't meet the criterion of the assertion. Counterexamples are instances where the statement's conclusion is false for the remaining options.
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