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Cooper is shipping some shelves he built. The function f(x)f(x) gives the number of shipping boxes he needs to ship xx shelves.\newlineWhat does f(3)<4f(3) < 4 tell you?\newlineChoices:\newline(A) Cooper needs fewer boxes to ship 33 shelves than to ship 44 shelves.\newline(B) Cooper needs fewer than 44 boxes if he is shipping 33 shelves.

Full solution

Q. Cooper is shipping some shelves he built. The function f(x)f(x) gives the number of shipping boxes he needs to ship xx shelves.\newlineWhat does f(3)<4f(3) < 4 tell you?\newlineChoices:\newline(A) Cooper needs fewer boxes to ship 33 shelves than to ship 44 shelves.\newline(B) Cooper needs fewer than 44 boxes if he is shipping 33 shelves.
  1. Understand function f(x)f(x): Understand the function f(x)f(x) and what it represents.\newlineThe function f(x)f(x) gives the number of shipping boxes needed to ship xx shelves. In this context, xx represents the number of shelves, and f(x)f(x) represents the number of boxes needed.
  2. Interpret inequality f(3)<4f(3) < 4: Interpret the inequality f(3)<4f(3) < 4. The inequality f(3)<4f(3) < 4 tells us that the number of boxes needed to ship 33 shelves is less than 44. This means Cooper needs fewer than 44 boxes to ship 33 shelves.
  3. Choose correct option: Choose the correct option based on the interpretation of the inequality. Option (A) states that Cooper needs fewer boxes to ship 33 shelves than to ship 44 shelves. This is not directly stated by the inequality f(3)<4f(3) < 4, as it does not compare the number of boxes needed for 33 shelves to the number needed for 44 shelves. Option (B) states that Cooper needs fewer than 44 boxes if he is shipping 33 shelves. This correctly interprets the inequality f(3)<4f(3) < 4.

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