8
algebra

A refrigerator temperature must be kept between 34°F and 40°F, inclusive. Which inequality represents an ALARM condition (temperature is unsafe)?

A

t<34t < 34 or t>40t > 40

B

34≤t≤4034 \leq t \leq 40

C

t≤34t \leq 34 or t≥40t \geq 40

D

34<t<4034 < t < 40

Correct Answer: A

Choice A is the correct answer. The alarm sounds when the temperature is OUTSIDE the safe range.

  1. Safe Range: 34≤t≤4034 \leq t \leq 40 (inclusive)
  2. Unsafe (Alarm): strictly less than 34 OR strictly greater than 40
  3. Inequality: t<34t < 34 or t>40t > 40

?�� Strategic Tip: The negation of "between inclusive" is "outside exclusive".

Choice B is incorrect because it represents the SAFE range. Choice C is incorrect because it includes the boundary values 34 and 40 as unsafe, but the problem says "inclusive" is safe. Choice D is incorrect because it represents a strictly safe range, excluding boundaries.

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Linear Functions Set 71