The cruise control of megan's truck is set at 65 miles per hour, but her actual speed may vary by as much as 5 miles per hour. write an inequality that can be used to determine the actual speeds at which megan could be traveling.

The required inequality is |s - 65| ≤ 5.

Explanation:

Consider the provided information.

The cruise control of Megan's truck is set at 65 miles per hour, but her actual speed may vary by as much as 5 miles per hour.

That means actual speed can be 65 - 5 or 65 + 5

Let the speed of Megan's truck is "s".

The speed of truck is lies between 65 - 5 or 65 + 5

This can be written as:

65 - 5 ≤ s ≤ 65 + 5

60 ≤ s ≤ 70

Or this can be written as:

65 - 5 ≤ s ≤ 65 + 5

Subtract both the side by 65.

- 5 ≤ s - 65 ≤ 5

Take the absolute value of difference, where the absolute value can be as much as 5. Which gives the required inequality for the situation.

|s - 65| ≤ 5

Hence, the required inequality is |s - 65| ≤ 5.

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