Answer:
[tex]|A - 8.7| < 0.4[/tex]
Step-by-step explanation:
Given
[tex]8.5 < A < 8.9[/tex]
Required
Write as an absolute value inequality
The absolute value inequality can be derived using
[tex]|A - Mid| < Length[/tex]
First Step: Get the middle of the interval
[tex]Mid = \frac{1}{2}(8.5 + 8.9)[/tex]
[tex]Mid = \frac{1}{2}(17.4)[/tex]
[tex]Mid = 8.7[/tex]
Next: Get the Length of the interval
[tex]Length = 8.9 - 8.5[/tex]
[tex]Length = 0.4[/tex]
Substitute values for Mid and Length in [tex]|A - Mid| < Length[/tex]
[tex]|A - 8.7| < 0.4[/tex]
Hence:
The absolute inequality is [tex]|A - 8.7| < 0.4[/tex]
