How are absolute value and inequalities used in the real world.

Answer 1

Absolute value inequalities arise when measuring.

For example: The length, L, of a 2 by 4 is measured to be 8 ft long with an error of at most 0.005 ft

So, 8 - 0.005 ≤ L ≤ 8 + 0.005.

-0.005 ≤ L - 8 ≤ 0.005

This means that l L - 8 l ≤ 0.005