Question

The specifications for an electronic device state that it is to be operated in a room with relative humidity ℎ defined by |ℎ − 50| < 30. What are the minimum and maximum relative humidities for the operation of this device?​

Answer 1

Answer: $\Large\boxed{20 < h < 80}$

Step-by-step explanation:

Given inequality

$|h-50| < 30$

The goal of the question

To find the minimum and maximum of the relative humidities

For this question, we need to solve the inequality

Simplify the absolute value sign

$h-50 < 30$          or          $h-50 > -30$

Add 50 on both sides

$h-50+50 < 30+50$          or          $h-50+50 > -30+50$

       $\Large\boxed{h < 80}$                   or                    $\Large\boxed{h > 20}$

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