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20 January, 21:41

A safety regulation states that the height h of a guardrail should be 106 centimeters with an absolute deviation of no more than 7 centimeters. Write and solve an absolute value inequality that represents the acceptable heights of a guardrail.

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  1. 20 January, 22:04
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    The expected height is h = 106 cm.

    The absolute deviation is 7 cm.

    Therefore the range of acceptable heights, h, is

    x ≥ 106 - 7 or x ≥ 99 cm

    Also,

    x ≤ 106 + 7 = 113 cm

    Therefore acceptable heights are defined by

    99 ≤ x ≤ 113 cm

    Answer: 99 ≤ h ≤ 113 cm
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