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Question
charlie and his younger brother, peter, are comparing their baseball card collections. charlie has 65 cards in his collection. peter only recently started collecting cards and has fewer cards than charlie. let p represent the number of baseball cards peter could have in his collection. which inequality models the story? graph the inequality that models the story. to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.
Step1: Analyze the relationship between \(p\) and \(65\)
Peter has fewer cards than Charlie. Charlie has 65 cards. So \(p\) (the number of Peter's cards) is less than 65.
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\(p < 65\)
For graphing:
- Plot an open circle at \(65\) (because \(p\) is not equal to \(65\), just less than).
- Draw a ray to the left (towards smaller numbers) from the open - circle at \(65\) since all values less than \(65\) satisfy the inequality \(p < 65\).