2
algebra

A shipping container must weigh more than 1000 lbs but less than 5000 lbs. Which inequality represents the weight ww?

A

1000<w<50001000 < w < 5000

B

1000w50001000 \leq w \leq 5000

C

w>1000w > 1000 or w<5000w < 5000

D

w<1000w < 1000 or w>5000w > 5000

Correct Answer: A

Choice A is the correct answer. "More than" and "Less than" are strict inequalities.

  1. Lower: w>1000w > 1000
  2. Upper: w<5000w < 5000
  3. Compound: 1000<w<50001000 < w < 5000

?�� Strategic Tip: "Between" usually implies an intersection (AND), written as a single chain.

Choice B is incorrect because it includes the weights 1000 and 5000. Choice C is incorrect because "or" would make this true for ALL numbers (since any number is either >1000>1000 or <5000<5000). Choice D is incorrect because it represents the weights OUTSIDE the allowed range.