Question
Show that if $a$ and $b$ are real numbers and $a < b,$ then $a < (a+b) / 2 < b .$ The number $(a+b) / 2$ is called the arithmetic mean of $a$ and $b$.
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Arithmetic Mean If $a<b,$ show that $a<\frac{a+b}{2}<b .$ The number $\frac{a+b}{2}$ is called the arithmetic mean of $a$ and $b$.
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