( <mi mathvariant="normal">&#x2200;<!-- ∀ --> x &#x2208; I + </msup>

Davion Harding

Davion Harding

Answered question

2022-06-08

( x I + ) [ x I ] where I + represents the domain of all positive irrational numbers.
Write it as a universal generalization proof.

Answer & Explanation

Sawyer Day

Sawyer Day

Beginner2022-06-09Added 30 answers

Suppose it is not true. So there is positive o irrational so that o is rational. Squaring we get o 2 = o is rational.
anginih86

anginih86

Beginner2022-06-10Added 8 answers

This is true. Suppose that x is rational. Then x = m / n for some integers m and n. Therefore x 2 = m 2 / n 2 is rational, and is thus not in I +. Turning this around, if x I +, x cannot be rational, so x I +.

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