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Let X = [0, 1) and Y = (0, 2). a. Define a 1-1 function from...

Let X = [0, 1) and Y = (0, 2).

a. Define a 1-1 function from X to Y that is NOT onto Y . Prove that it is not onto Y .

b. Define a 1-1 function from Y to X that is NOT onto X. Prove that it is not onto X.

c. How can we use this to prove that [0, 1) ∼ (0, 2)?

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