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Example
Comparing and
To determine the relationship between and , simplify the absolute value expression on the right side. The absolute value of corresponds to its distance from zero, which is (). After simplification, the comparison is directly between the negative integer and the positive integer . Since any negative number is always positioned to the left of a positive number on the number line, . Consequently, the complete statement is . This exercise reinforces the principle that a negative number is always strictly smaller than the absolute value of any non-zero integer.
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Updated 2026-04-21
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Ch.1 Foundations - Intermediate Algebra @ OpenStax
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