The arithmetic mean of a and b is given by (a + b)2. Order the statements of the proof

Chapter 2, Problem 110

(choose chapter or problem)

The arithmetic mean of a and b is given by (a + b)/2. Order the statements of the proof to show that if a < b, then a < (a + b)/2 < b.

(i) \(a<\frac{a+b}{2}<b\)                                         (ii) 2a < 2b

(iii) 2a < a + b < 2b                                         (iv) a < b

Text Transcription:

a<a+b/2 <b

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