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  2. To find a counterexample, you can follow these steps1234:
    1. Identify the statement you want to disprove.
    2. Look for a specific example that contradicts the statement.
    3. Show how the example renders the conclusion of the statement false.
    4. Use trial and error if needed to determine the best counterexample.
    Learn more:
    To give a counterexample, we need to find the square of an integer such that it is divisible by 4 Let's try with 6! 62 6 2 is divisible by 4 but 6 is not divisible by 4 Thus n = 6 is a counterexample to Jim's statement. ∴ ∴ n = 6 is the counterexample
    www.cuemath.com/data/counterexample/
    Writing a counterexample requires finding a specific case when a statement is wrong and showing how the case disproves the statement. When showing that a statement is false, it is necessary to use a specific example. As an illustration, rather than saying “this is untrue for negative numbers,” one would say, “this is untrue for − 2.
    www.storyofmathematics.com/counterexample/
    To give a counterexample, I have to find an integer n such n2 is divisible by 4, but n is not divisible by 4 — the “if” part must be true, but the “then” part must be false.
    sites.millersville.edu/bikenaga/math-proof/countere…
    Some questions ask you to find a counter-example to a given statement. This means that you must find an example which renders the conclusion of the statement false. If you must select a counter-example among multiple choices, often you can use the trial and error approach to determine which of those choices leads to a contradiction.
    brilliant.org/wiki/sat-counter-examples/
     
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