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aleksley [76]
3 years ago
15

Which of the following sets are closed under division? Select all that apply.

Mathematics
2 answers:
worty [1.4K]3 years ago
8 0

Answer:

None of the Above

Step-by-step explanation:

<u>Integers:</u>

Take a=1,b=2

Here, \frac{a}{b}=\frac{1}{2}

Since \frac{1}{2} is not an integer , integers are not closed under division .

<u>Irrational Numbers: </u>

Take a=\sqrt{3},b=\sqrt{27}

Here,\frac{a}{b}=\frac{\sqrt{3} }{\sqrt{27} }=\frac{1}{\sqrt{9} }=\frac{1}{3}

Since \frac{1}{3} is not an irrational number , irrational numbers are not closed under division.

<u>Whole Numbers:</u>

Take a=2,b=3

Here, \frac{a}{b} =\frac{2}{3}

Since \frac{2}{3} is not a whole number, whole numbers are not closed under division.

<u>Polynomials:</u>

Take two polynomials as 2x+3 , 0

Here, \frac{2x+3}{0} is not defined.

Since \frac{2x+3}{0} is not a polynomial, polynomials are not closed under division .

So, the correct option is none of the above

Lilit [14]3 years ago
6 0
The appropriate choice is probably
  none of the above


While the inverse of any irrational number is irrational, their ratio my not be, for example (√8)/(√2) is rational.
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