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## Main Question or Discussion Point

Hi - I've got the following question but can't find any concrete information in my books on how to answer it and I'm slightly confused:

{x ε R : 2≤x≤3 } and {x ε R : 2≤x≤5 } Do they have the same cardinality?

My understanding of this is if you can find a mapping that satisifies a bijection then yes they do - but because the second set starts at 2 and not 4 I can't create this map and hence the second set will always be bigger. However they are both infinite so so do they share the cardinality ℂ?

Any ideas?

F

{x ε R : 2≤x≤3 } and {x ε R : 2≤x≤5 } Do they have the same cardinality?

My understanding of this is if you can find a mapping that satisifies a bijection then yes they do - but because the second set starts at 2 and not 4 I can't create this map and hence the second set will always be bigger. However they are both infinite so so do they share the cardinality ℂ?

Any ideas?

F