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What the true biconditional statement that can be formed from the conditional statement If a number is divisible by 2 then it is even and its converse.?

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.


is this biconditional true or falseA number is even if and only if it is divisible by 2.?

true


Give 5 examples of biconditional statement?

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.


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 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.

Related Questions

What the true biconditional statement that can be formed from the conditional statement If a number is divisible by 2 then it is even and its converse.?

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.


Is this biconditional statement true A number is divisible by 6 if and only if it is divisible by 3?

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


is this biconditional true or falseA number is even if and only if it is divisible by 2.?

true


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.


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 is the inverse statement of an even number is divisible by two?

If a number is not divisible by two then it is not an even number.


What is the inverse of the statement if a number is divisible by 2 then it is even?

If a number is not even, then it is not divisible by 2.


Give 5 examples of biconditional statement?

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.


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.


What number is the counterexample for the statement if x is a multiple of 2 then x is divisible by 4?

the number eight


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.


A statement that is true for any number or variable?

They're ALL divisible by 1... and themselves !