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The set { 𝑝 𝑞 : 𝑝 , 𝑞 ∈ 𝑍 , 𝑞 ≠ 0 } as the set of _____ numbers.
  1. real
  2. irrational
  3. rational
  4. none of these
Explanation

The set {pq:p,q∈Z,q≠0}left{frac{p}{q} : p, q in mathbb{Z}, q neq 0right} represents the set of rational numbers.

Rational Numbers: A number is considered rational if expressed as the quotient pqfrac{p}{q}, where pp and qq are integers and q≠0


This set includes numbers like 12frac{1}{2}, −34-frac{3}{4}, and 77 (which can be written as 71frac{7}{1}).

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  1. 80
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