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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
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.
True or false In the body of a direct proof you must show that the assumption leads to a contradiction?
false
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.
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
How many Counterexamples are needed to disprove the conjecture two lines in a plane always intersect at exactly one point?
To disprove the conjecture that two lines in a plane always intersect at exactly one point, only one counterexample is needed. A single example of two lines that do not intersect, such as two parallel lines, is sufficient to show that the conjecture is false. Therefore, one counterexample is enough to invalidate the claim.
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.
One way to show that a statement is NOT a good definition is to find a?
to find a counterexample
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.... ).
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.
One way to show that a statement is not a good definition is to find a what?
One way to show that a statement is not a good definition is to find a counterexample, which is an instance that does not fit the definition provided. By demonstrating that the definition does not cover all possible cases or includes cases that should not be included, its inadequacy can be revealed.
