Answer:
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.
