# Answer to Question #3410 in Real Analysis for junel

Question #3410

Show that if& a < b, then a< (1/2)(a+b) < b&

Expert's answer

a < b

Let's add a to both sides of inequality

a +a < b + a

2a < b + a

Thus

a < (b+ a) /2

Let's add a to both sides of inequality

a +a < b + a

2a < b + a

Thus

a < (b+ a) /2

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