Use the image to answer the question

Select the solution set represented on the graph.

(1 point)
Responses

m≥10 or m≤9
m≥10 or m≤9

m>10 or m<9
m>10 or m<9

m>10 and m<9
m>10 and m<9

m≥10 and m≤9

3 answers

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.

  1. 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.

  2. 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.

  3. 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.

  4. 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.

the image shows 9 going to the left and 10 going to the right both of them are closed

Based on your description of the graph, where the region includes 9 and continues to the left (indicating \( m \leq 9 \)) and includes 10 and continues to the right (indicating \( m \geq 10 \)), the correct interpretation of the solution set would be that it includes values that are either less than or equal to 9 or greater than or equal to 10.

So, the correct answer is:

m ≥ 10 or m ≤ 9

This means that the solution encompasses values in those ranges as represented in the graph.

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