Answer :
Using absolute value, it is found that:
- The minimum diameter is of 4.46 mm.
- The maximum diameter is of 6.54 mm.
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- The absolute value measures the distance of a point to the origin.
- The diameter is D.
- The difference of D and 6.5 mm should be of at most 0.04 mm, thus, the absolute value inequality is:
[tex]|D - 6.5| \leq 0.04[/tex]
Thus:
[tex]-0.04 \leq D - 6.5 \leq 0.04[/tex]
The solutions are:
[tex]D - 6.5 \geq -0.04 \rightarrow D \geq 6.46[/tex]
[tex]D - 6.5 \leq 0.04 \rightarrow D \leq 6.54[/tex]
Which means that:
- The minimum diameter is of 4.46 mm.
- The maximum diameter is of 6.54 mm.
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