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Sagot :
From an absolute value inequality, we have that:
- The minimum diameter is 6.46 mm.
- The maximum diameter is 6.54 mm.
- The absolute value measures the distance of a point or a function to the origin.
- One example of inequality is:
[tex]|f(x)| \leq a[/tex]
Which has solution:
[tex]-a \leq f(x) \leq a[/tex]
In this problem:
- Bolts with a diameter of 6.5 mm, with a tolerance of 0.04 mm, thus the absolute value of the difference of the diameter D and 6.5 has to be of at most 0.04, that is:
[tex]|D - 6.5| \leq 0.04[/tex]
Applying the solution:
[tex]-0.04 \leq D - 6.5 \leq 0.04[/tex]
[tex]-0.04 \leq D - 6.5[/tex]
[tex]D - 6.5 \geq -0.04[/tex]
[tex]D \geq 6.46[/tex]
[tex]\leq D - 6.5 \leq 0.04[/tex]
[tex]D \leq 6.54[/tex]
- The minimum diameter is 6.46 mm.
- The maximum diameter is 6.54 mm.
A similar problem is given at https://brainly.com/question/24835634
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