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The average yearly temperature T in degrees for Newport, Oregon is given by: |T−55|≤10 Find the average temperature range in degrees.

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The absolute value has the following property:

[tex]|x|\leq a\iff -a\leq x\leq a[/tex]


Apllying:

[tex]|T-55| \leq 10 \iff -10\leq T - 55 \leq 10\\ \\ -10 + 55 \leq T -55 + 55 \leq 10 + 55\\ \\ \boxed{45\leq T \leq 65}[/tex]

The average temperature range is between 45 and 65 degrees.
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