Answer to Question #279512 in Math for Leyahhhh

Question

1. Construct an infinite decimal .b1b2 . . . bn . . . such that ann ≠bn for each positive n.

2. Does this contradict the above assumption that [0, 1] was countable? Explain.

3. What can you conclude from the above contradiction? Explain.

4. Is the cardinal number of [0, 1] strictly greater than ℵ0? Justify your answer.

5. Is |R| strictly greater than ℵ0? Justify your answer.