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Both statements are true.
These should really be asked as two separate questions.
Yes, the sum of any three consecutive integers is divisible by 3. Call the first number "n", the other two will be "n + 1" and "n + 2". Adding everything together, you get 3n + 3, which is equal to 3(n + 1). Since "n" is a whole number, so is "n + 1", and 3 times as much is a multiple of 3.
Two integers are consecutive if one is one more than the other... Well, yes, that's basically the definition of "consecutive".
What else can I help you with?
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
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.
True or False when you subtract a negative integer from another negative integer the result is always negative Explain.?
False. Counterexample: -1 - (-2) = -1 + 2 = 1.
True or false 6789 is it divisible by two?
False. If it doesn't end with a 2, 4, 6, 8, or 0, then it's not divisible by 2.
Are all odd numbers divisible by 3?
No, look at 5 it is odd and not divisible by 3. false,because if you look at the 5 it is not divisible by 3.
Is this statement true if the product of two integers is divisible by 6 one of the integers is also divisible by 6?
That is false. This type of statement is only true for prime numbers, not for compound numbers such as 6. Counterexample: 2 x 3 = 6
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 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 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.
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.
If false provide a counterexample?
Please provide the statement or claim you would like me to evaluate as true or false.
Which counterexample shows that the conjectureevery four-sided figure is a parallelogram is false?
A trapezium.
