The system of inequalities that can be used to determine he number of pencils that Mr.Carnegie can buy is 0.15x +0.75y < 30 and y < 3x.
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The total amount spent on pens and pencils cannot exceed $30. Thus, the inequality sign to be used is <. Thus, the equation is: 0.15x +0.75y < 30 and 3x > y
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