4
algebra

A number nn is at least 5 and less than 12. Which inequality represents this?

A

5n<125 \leq n < 12

B

5<n125 < n \leq 12

C

5n125 \leq n \leq 12

D

5<n<125 < n < 12

Correct Answer: A

Choice A is the correct answer. Translate the phrases to symbols.

  1. "At least 5": n5n \geq 5 or 5n5 \leq n
  2. "Less than 12": n<12n < 12
  3. Combine: 5n<125 \leq n < 12

?�� Strategic Tip: Pay close attention to "strict" (<,><, >) vs "inclusive" (,\leq, \geq) phrases.

Choice B is incorrect because it swaps the inclusive/strict conditions. Choice C is incorrect because it includes 12 ("less than or equal to"). Choice D is incorrect because it excludes 5 ("greater than").