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Which student wrote the correct inequality to represent the situation?

A) Chandis wrote: 30 + 3g ≥ 76
B) Alesha wrote: 30 + 3g > 76
C) Jamel wrote: 30 + 3g < 76
D) None of the above

User Cody Moniz
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1 Answer

3 votes

Final answer:

Without additional context, it's impossible to determine conclusively which student wrote the correct inequality. However, if the task is to find the inequality where the sum of 30 and thrice g is at least 76, Chandis's answer (A) is the most appropriate as it represents A > C.

Step-by-step explanation:

To determine which student wrote the correct inequality to represent the situation, we need a bit more context about the situation itself. However, based solely on the provided inequalities and the information that the magnitude of force A must be greater than the magnitude of force C, and the magnitude of force C must be greater than the magnitudes of forces A or B, we can infer some logical relationships. For a direct comparison in mathematical terms, if A is greater than C, then we could write this as A > C. Additionally, if C must be greater than both A and B, then one way to represent this could be A < C and B < C or in a combined form A < C > B.

Looking at the inequalities provided by the students:
A) Chandis wrote: 30 + 3g ≥ 76, suggesting that the sum of 30 and 3 times g should be greater than or equal to 76.
B) Alesha wrote: 30 + 3g > 76, suggesting that the sum should be strictly greater than 76.
C) Jamel wrote: 30 + 3g < 76, suggesting the sum should be less than 76.
D) None of the above.

Without additional context about the situation these inequalities are meant to describe, none of these explicitly fit the relationship A > C and A < C > B as described in the reference information. Thus, the correct answer could be D) None of the above. However, if the question is strictly asking which inequality shows that the value of 30 plus 3 times g is at least 76, which may correspond to the condition where A (the sum, in this case) must be greater than C, Chandis's answer A) would be the closest representation of A > C.

User Blinsay
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