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[tex]\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

           Which subset of real numbers does [tex]-\dfrac{17}{20}[/tex]  belong to?

[tex]\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Let's look at the subsets of a much larger number set - real numbers.

These are the subsets:-

  • Natural numbers. This subset includes positive numbers only.
  • Whole numbers. This subset includes positive numbers and zero.
  • Integers. This subset includes negative numbers, zero, and positive numbers. Please note that fractions are not included.
  • Rational numbers. This subset consists of integers and fractions.
  • Irrational numbers. This subset consists of numbers that cannot be expressed as fractions.

Now that we know the subsets of the real numbers set, we can determine where [tex]-\dfrac{17}{20}[/tex] belongs.

First of all, it's not positive, so it doesn't belong in the natural numbers or whole numbers set. Perhaps it's an integer?

As I said earlier, in the subset of integers, fractions aren't included.

Therefore, it's not an integer either.

However, it's a fraction.

So we conclude that

[tex]\dashrightarrow\star\bigstar\boxed{\boxed{\underline{\bold{-\frac{17}{20} \:is\:rational}}}}\bigstar\star\dashleftarrow[/tex]

Good luck.

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