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
A biconditional statement is a statement that connects two other statements with the phrase "if and only if." Five examples of biconditional statements are: A triangle is equilateral if and only if all of its sides are congruent. A number is divisible by 4 if and only if it is divisible by 2 twice. A polygon is a square if and only if it has four congruent sides and four right angles. A quadrilateral is a parallelogram if and only if its opposite sides are parallel. A function is continuous if and only if it is differentiable at every point in its domain.
The statement is bi-conditional. The "if and only if" should have tipped you off immediately.
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.
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.
A biconditional statement is a statement that connects two other statements with the phrase "if and only if." Five examples of biconditional statements are: A triangle is equilateral if and only if all of its sides are congruent. A number is divisible by 4 if and only if it is divisible by 2 twice. A polygon is a square if and only if it has four congruent sides and four right angles. A quadrilateral is a parallelogram if and only if its opposite sides are parallel. A function is continuous if and only if it is differentiable at every point in its domain.
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.
They're ALL divisible by 1... and themselves !