(7) Prove that [1, 2] ∖{1.5} has the same cardinality as [1, 2).

Name: (7) Prove that [1, 2] ∖{1.5} has the same cardinality as [1, 2).
Uploaded: 2023-07-18T13:59:54-08:00
Duration: 39 s
Channel: Numerade
Description: (7) Prove that [1, 2] ∖{1.5} has the same cardinality as [1, 2).

Question

Apratim De · Answer

So in this problem we have to show that the cardinality of the closed interval 2 .5 is the same

Vincenzo Zaccaro · Answer

Okay, so we need to find a bijective function, f, going from Z, the set of integers, to the set

Sachchidanand Prasad · Answer

So we need to show that the interval of 0 close 2 and the interval close 1 infinity has the same

Vincenzo Zaccaro · Answer

Let&#x27;s get started with part 1 of our exercise. Here we need to show that we can find a function

Vincenzo Zaccaro · Answer

Okay, we just need to show that 01, that there is a bi -jective function, F, going from 01 to 2n

Question

(7) Prove that $[1, 2] \setminus \{1.5\}$ has the same cardinality as $[1, 2)$.

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