emilia1407 emilia1407
  • 08-09-2020
  • Mathematics
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The quotient of any two numbers, with the condition that the denominator is different from zero

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facundo3141592
facundo3141592 facundo3141592
  • 13-09-2020

Answer:

The quotient of any two numbers can be written as:

A/B

such that:

A, B ∈ {R}

Where {R} is the set of all real numbers.

But we also have the restriction that the denominator, B in this case, must be different than zero.

So we can define the set:

{R \ {0}}

As the set of all the real numbers minus the element 0.

So in this set we do not have the number zero, so now we can write our expression as:

A/B

A ∈ {R}, B ∈ {R \ {0}}

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