Since I can't view images, I can't directly see the graph you are referring to. However, I can help you determine the correct solution set based on the inequalities provided.
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m≥10 or m≤9 means that m can be equal to 10 or greater or it can be equal to 9 or less. This would typically be represented by shading everything above and including 10, and everything below and including 9 on the number line.
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m>10 or m<9 means that m is greater than 10 or less than 9. This would show an open interval, where points above 10 and points below 9 are shaded, but not including the boundaries.
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m>10 and m<9 is impossible since a number cannot be greater than 10 and less than 9 at the same time. Therefore, this option cannot be true.
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m≥10 and m≤9 is also impossible for the same reason; a number cannot be both at once.
If the graph shown indicates values of m that are above or equal to 10 or below or equal to 9, the correct choice would be the first option: m≥10 or m≤9.
Please check the graph against these descriptions to identify the correct solution set.