Short Answer

Translating Tolerance Thresholds

In a precision manufacturing facility, a quality control sensor is set to flag any component whose weight deviation xx (in grams) satisfies the absolute value inequality ∣x∣>4|x| > 4. To help the floor staff understand the specific measurement ranges that will trigger a flag, you are asked to rewrite this as a compound inequality. Based on the property for solving 'greater than' absolute value inequalities, what is the equivalent compound inequality for ∣x∣>4|x| > 4?

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Updated 2026-09-18

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