? Exercise 2.5 .1 Students who score within 20 points of 80 will pass the test. Write this as a distance from 80 using the absolute value notation. (Use \( x \) as the variable and write \( <= \) for \( \leq \) ) Expression:

To express that students who score within 20 points of 80 will pass the test using absolute value notation, you can set up the inequality as follows: \[ |\,x - 80\,| \leq 20 \] **Explanation:** - \( x \) represents the student's score. - \( |x - 80| \) represents the distance of the student's score from 80. - The inequality \( \leq 20 \) ensures that this distance is **at most** 20 points. This means that any score \( x \) that is **within** 20 points of 80 (i.e., between 60 and 100) will satisfy the condition for passing the test. **Final Expression:** \[ |x - 80| \leq 20 \]