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24 July, 08:04

Write an absolute value inequality and a compound inequality for each length x with the given tolerance.

1. a length of 36.80 mm with a tolerance of 0.05 mm

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  1. 24 July, 08:42
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    The absolute value inequality of a length of 36.80 mm with a tolerance of 0.05 mm is given by |x - 36.80| < 0.05

    and

    The compound inequality of a length of 36.80 mm with a tolerance of 0.05 mm is obtained as follows:

    |x - 36.80| < 0.05

    -0.05 < x - 36.80 < 0.05

    -0.05 + 36.80 < x < 0.05 + 36.80

    36.75 < x < 36.85.
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