Question

Eduardo has to make a 10 minute video of his test corrections for his Algebra 2 teacher in order to be eligible to retest. His teacher said he must stay within three minutes of the 10 minute requirement. Write an absolute value inequality that represents video lengths that meet the requirement. No spaces. On your keyboard,

Answer 1

7 ≤ v ≤ 13

Explanation:

Length of video required must be within 10 minutes

Submitted length of video must be with 3 minutes of the 10 minutes video

To create an absolute value inequality :

Let v = the range of value for which the required video will be :

|v - 10| = ±3

Lower boundary :

|v - 10| = - 3

v = - 3 + 10

v = 7

Upper boundary :

|v - 10| = 3

v = 3 + 10

v = 13

Hence,

7 ≤ v ≤ 13