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What is needed to show that a conjucture is false?

To show that a conjecture is false, one must provide a counterexample—an instance or case where the conjecture does not hold true. This counterexample must be specific and clearly demonstrate that the conjecture fails under certain conditions. Additionally, it's important to ensure that the counterexample is within the scope of the conjecture's claims to effectively disprove it.


Specific case in which a statement is false?

A counterexample is a specific case in which a statement is false.


A counterexample is sufficient to prove that a conjecture is false?

Yes.


What is an example that shows a conjecture is false?

It's a counterexample.


A particular example or instance of a statement that makes a statement false?

Counterexample


Can a theorem have a counterexample?

No, a theorem cannot have a counterexample, as a theorem is a statement that has been proven to be true under a specific set of conditions. A counterexample, on the other hand, demonstrates that a statement or conjecture is false by providing an instance where the statement does not hold. If a counterexample exists, the statement is not a theorem.


Which counterexample shows that the conjectureevery four-sided figure is a parallelogram is false?

A trapezium.


Find a counterexample to the statement all us presidents have served only one term to show that this statement is false.?

find a counterexample to the statement all us presidents have served only one term to show statement is false


What is an example of a counterexample?

an example of this is like taking a statement and making it negative, i think.... Such as, "All animals living in the ocean are fish." A counterexample would be a whale(mammal), proving this statement false.


Which counterexample shows that the conjecture All mammals are monkeys is false?

A mouse is a mammal, but it us not a monkey.


Why only one counterexample is necessary to show that a conjecture is false?

To be true a Conjecture must be true for all cases.


Find a counterexample to show that the conjecture is false?

if the qoutient of two numbers is positive, then both numbers must be a rectangle.