Question: 6. This problem will show that any interval (a,b) has the same cardinality as R. (a) Let a,b E R and b > (1.. Construct

6. This problem will show that any interval (a,b) has the same cardinality as R. (a) Let a,b E R and b > (1.. Construct a bijective function f : (0,1) > (a,b). (b) Use (a) to show that |(a,b)| : |(c,d)| for any a,b,c,d E R with b > a and d > c

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