It takes Jamil 40 minutes to get to work, plus or minus at most 8 minutes depending on traffic. Which inequality shows how to find the range of times that it could take Jamil to get to work? Write a inequality

To express the range of time it could take Jamil to get to work, you can use the concept of absolute value to represent the variability in time due to traffic.

Let \( t \) represent the actual time it takes for Jamil to get to work. Since the time varies by at most 8 minutes from the usual 40 minutes, we can set up the inequality as:

\[
| t - 40 | \leq 8
\]

This inequality means the time \( t \) can deviate by up to 8 minutes either above or below 40 minutes.

Would you like further details on how to solve this inequality? Here are 5 related questions to deepen your understanding:

1. How do you solve absolute value inequalities?
2. What would be the solution interval for \( | t - 40 | \leq 8 \)?
3. Can absolute value inequalities represent real-life situations effectively?
4. How would the inequality change if the maximum traffic delay was different, say 5 minutes?
5. What is the difference between \( \leq \) and \( < \) in inequalities like this one?

**Tip:** When dealing with absolute value inequalities, always remember to break them down into two separate inequalities for solving.

It takes Jamil 40 minutes to get to work, plus or minus at most 8 minutes depending on traffic. Which inequality shows how to find the range of times that it could take Jamil to get to work? Write an inequality.

Learn how to set up and solve an absolute value inequality to find the range of times it could take Jamil to get to work. This problem involves key algebraic concepts like absolute value inequalities and solving them with step-by-step guidance. Suitable for students in Grades 8-10.

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