Math  /  Word Problems

QuestionWhich situation fits the inequality 4b+36b4b + 3 \leq 6b? A. Four binders and a \$3 pack of markers cost less than six binders. B. Six binders cost more than four binders and a \$3 pack of markers. C. Four binders and a \$3 pack of markers cost the same as six binders. D. Four binders and a \$3 pack of markers cost more than six binders.

Studdy Solution
Now, we compare this interpretation with each of the provided options.
A. "Four binders and a $3 pack of markers cost less than six binders." This option is almost correct, but it does not account for the possibility that the costs could be equal, as indicated by the "≤" sign in the inequality.
B. "Six binders cost more than four binders and a 3packofmarkers."Thisoptionisthecorrectinterpretationoftheinequality.Itcorrectlystatesthatthecostofsixbindersismorethanthecostoffourbindersanda3 pack of markers." This option is the correct interpretation of the inequality. It correctly states that the cost of six binders is more than the cost of four binders and a 3 pack of markers, and it also allows for the possibility that the costs could be equal.
C. "Four binders and a 3packofmarkerscostthesameassixbinders."Thisoptionisincorrectbecauseitonlyaccountsforthepossibilitythatthecostsareequal,buttheinequalityalsoallowsforthecostoffourbindersanda3 pack of markers cost the same as six binders." This option is incorrect because it only accounts for the possibility that the costs are equal, but the inequality also allows for the cost of four binders and a 3 pack of markers to be less than the cost of six binders.
. "Four binders and a $3 pack of" This option is incomplete and does not make a clear comparison.
The situation that best represents the inequality "b +3 ≤6b" is option B "Six binders cost more than four binders and a $3 pack of markers."

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