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This is something about absolute value but i have no idea how to do it

This is something about absolute value but i have no idea how to do it-example-1

1 Answer

5 votes

You're looking for an inequality of the form
|t-b|\le a, or
-a\le t-b\le a, or
b-a\le t\le b+a.

Start with


350^\circ\le t\le400^\circ

Notice that 375º is the midpoint of this interval of temperatures. If we subtract all sides by 375º, then we get


-25^\circ\le t-375^\circ\le25^\circ

so we can set
a=25^\circ and
b=375^\circ, and we can rewrite this inequality in terms of absolute values as


|t-375^\circ|\le25^\circ

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User Sbz
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