(a) Show that [0, 1] [2, 3]. [Hint: Define T :[0, 1] S [2, 3] by letting T(f ) be the

Chapter 6, Problem 6.5.30

(choose chapter or problem)

(a) Show that [0, 1] [2, 3]. [Hint: Define T :[0, 1] S [2, 3] by letting T(f ) be the functionwhose value at x is for x in[2, 3].](b) Show that [0, 1] [a, a 1] for all a.

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