Write each statement as an absolute value equation or inequality. See Example.
EXAMPLE Using Absolute Value Inequalities to Describe Distances
Write each statement using an absolute value inequality.
(a)k is no less than 5 units from 8.
(b)n is within 0.001 unit of 6.
SOLUTION
(a)Since the distance from k to 8, written |k − 8| or |8 − k|, is no less than 5, the distance is greater than or equal to 5. This can be written as
(b)This statement indicates that the distance between n and 6 is less than 0.001.
q is no more than 8 units from 22.
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