Question
Show that if $|a-5|<\frac{1}{2}$ and $|b-8|<\frac{1}{2},$ then we can conclude that $|(a+b)-13|<1 .$ Hint: Use the triangle inequality $(|a+b| \leq$ $|a|+|b|)$
Step 1
This means that $a$ is between $4.5$ and $5.5$, and $b$ is between $7.5$ and $8.5$. Show more…
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