Yes, it is true that if a number is divisible by 4, then it is even. A valid biconditional statement would be: "A number is divisible by 4 if and only if it is even." This means that not only does divisibility by 4 imply that the number is even, but also that every even number that is divisible by 4 will satisfy this condition.
The true biconditional statement that can be formed is: "A number is even if and only if it is divisible by 2." This statement combines both the original conditional ("If a number is divisible by 2, then it is even") and its converse ("If a number is even, then it is divisible by 2"), establishing that the two conditions are equivalent.
true
1. The candidate becomes president if and only if he wins the election. 2. The player wins a trophy if and only if he wins the game. 3. Water falls from the sky if and only if it rains. 4. I'm breathing if and only if I'm alive. 5. You are permitted to vote if and only if you are registered.
The contrapositive of the statement "If a number ends with 0, then it is divisible by 10" is "If a number is not divisible by 10, then it does not end with 0." In logic, the contrapositive is formed by negating both the hypothesis and the conclusion, and it is logically equivalent to the original statement.
The statement is bi-conditional. The "if and only if" should have tipped you off immediately.
The true biconditional statement that can be formed is: "A number is even if and only if it is divisible by 2." This statement combines both the original conditional ("If a number is divisible by 2, then it is even") and its converse ("If a number is even, then it is divisible by 2"), establishing that the two conditions are equivalent.
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
true
An integer n is odd if and only if n^2 is odd.
If a number is nonzero, then the number is positive.
If a number is not divisible by two then it is not an even number.
If a number is not even, then it is not divisible by 2.
1. The candidate becomes president if and only if he wins the election. 2. The player wins a trophy if and only if he wins the game. 3. Water falls from the sky if and only if it rains. 4. I'm breathing if and only if I'm alive. 5. You are permitted to vote if and only if you are registered.
The contrapositive of the statement "If a number ends with 0, then it is divisible by 10" is "If a number is not divisible by 10, then it does not end with 0." In logic, the contrapositive is formed by negating both the hypothesis and the conclusion, and it is logically equivalent to the original statement.
The statement is bi-conditional. The "if and only if" should have tipped you off immediately.
the number eight
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.