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Luke 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) < 4 tell you?\newlineChoices:\newline(A)Luke needs fewer boxes to ship 33 shelves than to ship 44 shelves.\newline(B)Luke needs fewer than 44 boxes if he is shipping 33 shelves.

Full solution

Q. Luke 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)Luke needs fewer boxes to ship 33 shelves than to ship 44 shelves.\newline(B)Luke 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. Here, xx represents the number of shelves.
  2. Interpret Inequality f(3) < 4: Interpret the inequality f(3) < 4. The inequality tells us that the number of boxes needed to ship 33 shelves is less than 44. It does not provide information about shipping 44 shelves, only that 33 shelves require fewer than 44 boxes.
  3. Choose Correct Option: Choose the correct option based on the interpretation of the inequality. Option (A) states that Luke needs fewer boxes to ship 33 shelves than to ship 44 shelves. This is not what the inequality f(3) < 4 tells us; it only gives information about the number of boxes needed for 33 shelves. Option (B) states that Luke needs fewer than 44 boxes if he is shipping 33 shelves. This correctly interprets the inequality f(3) < 4.

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