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

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Q: Find a counterexample to show that the conjecture is false?
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Why only one counterexample is necessary to show that a conjecture is false?

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


Any number that is divisible by 3 is also divisible by 9 .Find a counterexample to show that the conjecture is false?

You are an Idiot dude. there is no such value


Any number that is divisible by 2 is also divisible by 6 Find a counterexample to show that the conjecture is false?

4 is divisible by 2 but not by 6


Any number that is divisible by 4 is also divisible by 8 find a counterexample to show the conjecture is false?

4 divides 4 (once), but 4 is not divisible by 8. ■


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


One way to show that a statement is NOT a good definition is to find a?

to find a counterexample


Draw a counterexample to show that the following statements are false.if a figure is a hexagon than its a polygon.what do you draw?

The statement is not false. A hexagon is a polygon.


What is a counterexample to show that the repeating decimals are closed under addition false?

There cannot be a counterexample since the assertion is true. This requires you to accept the true fact that the terminating decimal 1.25, for example, is equivalent to the repeating decimal 1.25000... (or even 1.24999.... ).


One way to show that a statement is not a good definition is to find a what?

Counterexample. Which means an example that refutes an assertion or claim.


What are the steps to writing an Indirect Proof in Geometry?

Identify the conjecture to be proven.Assume the opposite of the conclusion is true.Use direct reasoning to show that the assumption leads to a contradiction.Conclude that the assumption is false and hence that the original conjecture must be true.


How can you prove a conjecture false?

The word "conjecture" can be taken a number of ways. If the "conjecture" involves an inference based on false or defective information, you need only show convincing or conclusive evidence that the information is false or faulty. If the "conjecture" is the result of surmise or guessing, then it is nothing more than a guess itself, and, therefore, has no basis in fact or logic. If the "conjecture" is an unproven mathematical hypothesis, you will need to disprove its validity from its basis. Start with the basic crux of the problem and work step by step until you disprove (or prove) the hypothesis to be untrue (or true). Make sure you have good arguments and sound mathematics.


How many examples does it take to show that a conjecture is not correct?

One.