To accurately select the correct solution set represented on the graph, I would need to know what the graph looks like. However, I can provide some insights based on the options given:
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m≥10 or m≤9: This would represent two ranges on a number line: one starting from 10 going to positive infinity, and the other starting from negative infinity up to 9. This scenario indicates that the values of \( m \) can be either 10 or greater or 9 or less.
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m>10 or m<9: Similar to the first, this option suggests that \( m \) can be any value greater than 10 or any value less than 9.
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m≥10 and m≤9: This option is logically impossible because no number can be both greater than or equal to 10 and less than or equal to 9 at the same time.
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m>10 and m<9: Like the previous one, this option is also logically impossible.
If the graph illustrates intervals or ranges, you would want to look for the sections that illustrate values of \( m \) that meet the criteria mentioned above.
Without seeing the graph, my suggestion is to consider the nature of the inequalities. Typically, "or" denotes ranges that are separate or inclusive, while "and" would indicate overlapping ranges, which in cases 3 and 4 lead to inconsistencies.
Please refer to the graph to identify whether it shows values of \( m \) starting from 10 and above or values up to 9, or if it reflects intervals that can be logically represented by the selections made.
5 answers