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A number is a multiple of 7 if and only if it can be divided by 7 with no remainder.

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Q: How can the following definition be written correctly as a biconditional statementA multiple of 7 is a number that can be divided by 7 with no remainder.?

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There is no agreed definition but the following, from the Encyclopedia Britannica is a good one. It defines mathematics asThe science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects.

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If I understand it correctly, that means you should solve the following equation: (5 + 9 + 12 + x) / 4 = 9

We need to refer to the mathematical definition of the word "even." The most commonly accepted definition is that a number "a" is even if there exists an integer "n" which makes the following statement true: a = 2 x n -1 is an integer. So let n = -1 in the above equation and we get: -2= 2 x (-1) So -2 satisfies the mathematical definition for being even.

In my city, there are many ways to get from place to place: walk, ride the bus, ride a train, or drive a car.

Related questions

An integer is odd if and only if it is not divisible by two.

No, it is not a definition: it is an imperative statement requiring you to do something!

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

the product of two integers is odd if and only if the two factors are odd

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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.

A 150 degree angle is an obtuse angle because it is greater than 90 but less than 180 degrees

The statement is bi-conditional. The "if and only if" should have tipped you off immediately.

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No, "followering" is not spelled correctly. The correct spelling is "following."

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