Set 11: Linear Inequalities (Advanced)
Explanation
A temperature sensor displays valid readings between -10°C and 50°C, inclusive. Which inequality represents valid temperature ?
or
and
Detailed Explanation
Choice B is correct. Choice B is the correct answer. Compound inequalities with "and" represent ranges between two values. 1. Lower bound: "At least -10" means 2. Upper bound: "At most 50" means 3. Combine: (both conditions simultaneously) 4. Note: "Inclusive" requires and , not strict inequalities Strategic Tip: "Between X and Y, inclusive" always uses on both sides: . Choice A is incorrect because it uses strict inequalities, excluding the boundary values -10 and 50. Choice C is incorrect because it represents temperatures OUTSIDE the valid range using "or" logic. Choice D is incorrect because and would mean only (impossible to satisfy both with "and" as written).
Key Steps:
The correct answer is
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