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Let a, b, c, d be real numbers with a < b and c < d....

Let a, b, c, d be real numbers with a < b and c < d.

(a) Show that there is a one to one and onto function from the interval (a, b) to the interval (c, d).

(b) Show that there is a one to one and onto function from the interval (a, b] to the interval (c, d].

(c) Show that there is a one to one and onto function from the interval (a, b) to R.

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