How do you express that a set has more elements than another I wanted to know if you can express that a set has more elements than another set, because I don't know if A > B would be correct
Also, is this a correct way to express myself mathematically?
R ∈ [0,1] > N ∈ [0,∞]
I am really bad with math notations since I mostly just like to understand the concepts, but expressing ideas with symbols seems more efficient, so if anyone would care to help that would be appreciated!
 A: The notation that is used is $|A| > |B|$ to mean that $A$ has a larger size than $B$. In the case of finite sets, this overlaps with our intuitive notion of $A$ having more elements that $B$. For infinite sets, it means roughly the same thing except it would formally be defined as "there exists an injection from $B$ into $A$ and no injection from $A$ into $B$."
A: We usually write $|A|>|B|,$ where $|A|$ means the “cardinality of $A.$” When $A$ is finite, the cardinality is essentially the number of elements.
We write $B\subseteq A$ (or sometimes $B\subset A$) if every element of $B$ is in $A.$
We write $B\subsetneq A$ if $B\subseteq A$ but but not all elements of $A$ are in $B$ - that is, if $A\neq B.$
When $A$ is finite, and $B\subsetneq A,$ then $|B|<|A|.$ But that is not true for infinite $A.$ For infinite $A,$ if $B\subsetneq A$ Then all we can say is $|B|\leq |A|.$
A: Yes, you can express this with a brief notation. Most will accept and understand: $$| \{t\,\in\,\mathbb{R}:0\leq t\leq1\}| \,>\, |\{1,2,3,\dots\} |$$
