Find sup S and inf S, and give reasons for your answers:
S= $$\left\{ x \in \mathbb{Q}:x^4

Question

Find sup S and inf S, and give reasons for your answers:
S= $$\left\{ x \in \mathbb{Q}:x^4<3 \right\}$$Can I just say here that since Q is not complete, it cannot be bounded, so has no sup or inf?

anonymous · Answer

Or rather there is no rational supremum or infimum of the set, which would be +- (3)^(1/4) in R.

experimentx · Answer

most likely your reasoning is true .. you can't compare complex number with real.
But I'm not sure ..

anonymous · Answer

If we are taking the inf and the sup in $ \mathbb R$ then
inf is $ - \infty $ or it does not exist.
Sup is $ 3^{1/4} $.