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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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