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IntroAnalysis

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## Homework Statement

Let A = [

**Q**[itex]\bigcap[/itex](0,[itex]\infty[/itex])] [itex]\bigcup[/itex] {-1} [itex]\bigcup[/itex](-3, -2]

## Homework Equations

So A = (0,[itex]\infty[/itex]) [itex]\bigcup[/itex]{-1} [itex]\bigcup[/itex](-3,-2]

## The Attempt at a Solution

I understand that the Rational numbers are cardinally equivalent to (0,[itex]\infty[/itex]),

but why isn't the intersection of Rationals and (0,[itex]\infty[/itex]) =>(0,[itex]\infty[/itex])\Irrationals ?