Short Answer

HVAC System Operating Range

An HVAC technician is monitoring a climate-controlled storage unit. The unit's ventilation system is designed to activate if the internal temperature xx satisfies at least one of these two safety conditions: 34x−3≤3\frac{3}{4}x - 3 \le 3 or 25(x+10)≥0\frac{2}{5}(x + 10) \ge 0.

Given that the first condition simplifies to x≤8x \le 8 and the second condition simplifies to x≥−10x \ge -10, recall the definition of the 'or' connector and state the total combined solution set for the system's operating range in interval notation.

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Updated 2026-09-19

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