# Determine the closure, interior, and boundary set $\mathbb{Q}$ of all rational numbers as a set of $\mathbb{R}$ with its standard topology. [closed]

Determine the closure, interior, and boundary set $\mathbb{Q}$ of all rational numbers as a set of $\mathbb{R}$ with its standard topology. My answer are the following: Boundary set: $\mathbb{R}$ Closure: $\mathbb{R}$ Interior: $\emptyset$. Is my answer correct? thank you.

## closed as off-topic by Lee Mosher, user147263, Silvia Ghinassi, Daniel W. Farlow, choco_addictedMar 12 '16 at 3:12

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• If you're asking "am I correct?" then you are. Your question says "I am correct", which isn't a question. – Ethan Bolker Mar 11 '16 at 14:25
• @ Ethan Bolker. Okey. Thank you so much.. – Bayoy Mar 12 '16 at 10:37