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Is this biconditional statement true A number is divisible by 6 if and only if it is divisible by 3?
Wiki User
∙ 13y ago
How can the following definition be written correctly as a biconditional statement?
An odd integer is an integer that is not divisible by two.
(A+ answer) An integer is odd if and only if it is not divisible by two
Nicole Sprinkle
Wiki User
∙ 13y agono
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.
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What six digit number is only divisible by two?
There is no number, no matter the number of digits, that is only divisible by 2.
Which of the following number are divisible by 3.15546415333957?
The concept of divisibility makes sense only in the context of integers. Otherwise every number is divisible by every non-zero number.
Is 47 divisible by4?
No. 47 is a prime number and is only divisible by 1 and itself.
What are the factors of 1 2 3 5 7 9 11?
The only factor of 1 is 1.2 is a prime number. It is only evenly divisible by itself and one.3 is a prime number. It is only evenly divisible by itself and one.5 is a prime number. It is only evenly divisible by itself and one.7 is a prime number. It is only evenly divisible by itself and one.The factors of 9 are: 1, 3, and 9.The only prime factor of 9 is: 3.11 is a prime number. It is only evenly divisible by itself and one.
Why do all the factors have 2 as a factor?
Do you mean what is a number that has exactly two factors? If so the answer is a prime number. Eg. 2,3,5,7,11..... They are only divisible by 1 and themselves
is this biconditional true or falseA number is even if and only if it is divisible by 2.?
true
How does biconditional statement different from a conditional statement?
a condtional statement may be true or false but only in one direction a biconditional statement is true in both directions
when the biconditional statement is separated into a conditional and its converse, which of these cannot be the converse?
If a number is nonzero, then the number is positive.
What does IFF mean when used in a biconditional statement?
the statement IFF means "if and only if"
Is the following a conjunction disjunction conditional or biconditional A number is odd if and only if it is not even?
The statement is bi-conditional. The "if and only if" should have tipped you off immediately.
Is The converse of a biconditional statement is always true?
No, not always. It depends on if the original biconditional statement is true. For example take the following biconditional statement:x = 3 if and only if x2 = 9.From this biconditional statement we can extract two conditional statements (hence why it is called a bicondional statement):The Conditional Statement: If x = 3 then x2 = 9.This statement is true. However, the second statement we can extract is called the converse.The Converse: If x2=9 then x = 3.This statement is false, because x could also equal -3. Since this is false, it makes the entire original biconditional statement false.All it takes to prove that a statement is false is one counterexample.
how can the following definition be written correctly as a biconditional statementAn odd integer is an integer that is not divisible by two.?
An integer is odd if and only if it is not divisible by two.
Biconditional 2x-5 equals 11 then x equals 8?
The conditional statement is: "If 2x - 5 = 11, then x = 8" The biconditional statement is the statement that contains "if and only if". Some textbooks or mathematicians use this symbol ⇔. The biconditional statement of the given is: x = 8 ⇔ 2x - 5 = 11 OR x = 8 if and only if 2x - 5 = 11.
Choose the true biconditional statement that can be formed from the conditional statement If a natural number n is odd then n2 is odd and its converse.?
An integer n is odd if and only if n^2 is odd.
What of the following is a true biconditional statement?
the product of two integers is odd if and only if the two factors are odd
Is it true or false that a number is divisible by 6 if and only if it is divisible by 3?
False. The question consists of 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? This is true but the false part makes the whole statement false.
How do you make An integer is divisible by 100 and only if its last two digits are zeros biconditional?
In mathematical logic, An integer A if divisible by 100 iff the last two digits are 0. "iff" stands for "if and only if".
