SOLUTION: So this is using absolute value with inequalities. A Company manufactures cell phone cases. The length of a certain case must be within .25 mm of 125 mm. All cases with Lengths

Question 1123482: So this is using absolute value with inequalities.
A Company manufactures cell phone cases. The length of a certain case must be within .25 mm of 125 mm. All cases with Lengths outside of this range are removed from the inventory. How could you use an absolute value inequality to represent the lengths of all the cases that should be removed?
Found 2 solutions by Theo, greenestamps:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the length must be within plus or minus .25 mm of 125 mm.

if x is the length of the case, then:

absolute value of (x - 125) must be <= .25

this is shown as |x - 125| <= .25

when the expression within the absolute value sign is positive, the expression becomes (x - 125) <= .25
add 125 to both sides of this inequality to get:
x <= 125 + .25 = 125.25

when the expression within the asbolute value sign is negative, the expression becomes (x - 125) >= -.25
add 125 to both sides of this inequality to get:
x >= 125 - .25 = 124.75

the manufactured case must have a length that is greater than or equal to 124.75 mm and less than or equal to 125.25 mm.

otherwise it is removed from the inventory.

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

It appearxs that the other tutor talked a lot about your question; but he did not answer it.

The inequality that represents the lengths of all cases that should be removed from the inventory is

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