# Math Help - Analysis

1. ## Analysis

Is there an example of a proper subset of R whose closure is R?

2. Originally Posted by izzydoesit
Is there an example of a proper subset of R whose closure is R?
There are many such sets.
In fact any dense subset of $\mathbb{R}$ has that property.
A set is dense if between any two points there is a point of the set.
Does that give you a big hint.