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Question
deon and his group members are trying to identify the unknown mineral #3. this mineral scratches a penny but not an iron nail. using mohs hardness scale, identify the range that best describes the hardness of this mineral.
Step1: Determine the hardness of the penny
From the table, the hardness of a penny is \(3\). Since the mineral scratches a penny, its hardness \(H\) is \(H>3\).
Step2: Determine the hardness of the iron nail
From the table, the hardness of an iron nail is \(4.5\). Since the mineral does not scratch an iron nail, its hardness \(H\) is \(H < 4.5\).
Combining these two inequalities, we get \(3
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