Question
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 $b$.
Step 1
We can add $a$ to both sides of the inequality to get $a+a<b+a$ or $2a<b+a$. Show more…
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Key Concepts
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