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}`

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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