Question

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

Answer 1

Good evening


The absolute value has the following property:

$|x|\leq a\iff -a\leq x\leq a$


Apllying:

$|T-55| \leq 10 \iff -10\leq T - 55 \leq 10\\ \\ -10 + 55 \leq T -55 + 55 \leq 10 + 55\\ \\ \boxed{45\leq T \leq 65}$

The average temperature range is between 45 and 65 degrees.