Prove that the given set is uncountable

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Question: 1. What if everyone wanted two cups of coffee-what map would accomplish this goal?

2. Prove that [1,2) is uncountable.

3. Prove that|P(Z)| > |Z|.

4. Explain why ℵ0 +1 = ℵ0. In fact, prove it.

5. Show that 2ℵ0 = ℵ0.

Reference no: EM131586780

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