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Conjecture Any number that is divisible by 4 is also divisible by 8?
False. Consider 4, itself.
A number is divisible by 6 if and only if it is divisible by 3?
If this is a T-F question, the answer is false. It is true that if a number is divisible by 6, it also divisible by 3. This is true because 6 is divisible by 3. However, the converse -- If a number is divisible by 3, it is divisible by 6, is false. A counterexample is 15. 15 is divisible by 3, but not by 6. It becomes clearer if you split the question into its two parts. A number is divisible by 6 if it is divisible by 3? False. It must also be divisible by 2. A number is divisible by 6 only if it is divisible by 3? True.
An example which proves a conjecture false?
Counter Example
An example that shows a conjecture is false?
pie tree
How many examples to prove a conjecture false?
A counter example
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 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. ■
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.
Why only one counterexample is necessary to show that a conjecture is false?
To be true a Conjecture must be true for all cases.
Conjecture Any number that is divisible by 4 is also divisible by 8?
False. Consider 4, itself.
Which counterexample shows that the conjecture All mammals are monkeys is false?
A mouse is a mammal, but it us not a monkey.
A number is divisible by 6 if and only if it is divisible by 3?
If this is a T-F question, the answer is false. It is true that if a number is divisible by 6, it also divisible by 3. This is true because 6 is divisible by 3. However, the converse -- If a number is divisible by 3, it is divisible by 6, is false. A counterexample is 15. 15 is divisible by 3, but not by 6. It becomes clearer if you split the question into its two parts. A number is divisible by 6 if it is divisible by 3? False. It must also be divisible by 2. A number is divisible by 6 only if it is divisible by 3? True.
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.
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.
How determine whether the conjecture is true or false. If false give a counterexample. Given LMN and XMZ are coplanar. Conjecture The angles are vertical angles.?
Select one: a. False; the angles may be supplementary. b. True c. False; one angle may be in the interior of the other. d. False; the angles may be adjacent.
Which counterexample shows that the conjecture Every four-sided figure is a parallelogram is false?
Every four sided figure is a quadrilateral which includes a parallelogram.
