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The set S={x €Q : x^3 <= 7} where Q = the rationals has supremum = cube root x
But why does it have no maximum?
I though the maximum was also cube root x?
But why does it have no maximum?
I though the maximum was also cube root x?
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(Original post by e^x)
The set S={x €Q : x^3 <= 7} where Q = the rationals has supremum = cube root x
But why does it have no maximum?
I though the maximum was also cube root x?
The set S={x €Q : x^3 <= 7} where Q = the rationals has supremum = cube root x
But why does it have no maximum?
I though the maximum was also cube root x?
![\sqrt[3]{7}](https://www.thestudentroom.co.uk/latexrender/pictures/bc/bc341b710934186f3d94554aaba9ea8a.png "\sqrt[3]{7}")
and this is obviously not in 
so cannot be part of S. Therefore there is no maximum.
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