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Example
Comparing and
To compare and , simplify the expression containing the absolute value first. The absolute value of is , so . Applying the negative sign outside the absolute value yields . Comparing the two integers on the number line, is to the right of , which means . Therefore, substituting the simplified form gives the final relationship: . This demonstrates evaluating the absolute value before applying an external negation when determining order.
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Updated 2026-05-01
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Ch.1 Foundations - Intermediate Algebra @ OpenStax
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