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Mathematics 21 Online
OpenStudy (anonymous):

The average wind speed in another town is 23 km/h, but the actual wind speed is within 4 km/h of the average. Write and solve an inequality to find the range of wind speed in this town.

hero (hero):

We already know the units (km/h), so let's just deal with the numbers and variables: Average Wind Speed = \(W_{\text{avg}}\) Actual Wind Speed = \(W_{\text{true}}\) \(W_{\text{avg}} = 23\)

hero (hero):

It says the actual wind speed is within 4 km/h of the average. This translates to: \(W_{\text{avg}} - 4 < W_{\text{true}} < W_{\text{avg}} + 4\) \(23 - 4 < W_{\text{true}} <23 + 4\)

OpenStudy (anonymous):

So is that it??

hero (hero):

Yes, technically though, you should probably use \(\le\) symbol. And the initial setup would be \(|W_{\text{true} - W_{\text{avg}}| < 4} \) Something is wrong with LaTeX

OpenStudy (anonymous):

okay, thanks

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