Select the solution set represented on the graph.

(1 point)
Responses

m>10 or m<9
m greater than 10 or m less than 9

m≥10 or m≤9
m greater-than-or-equal-to 10 or m less-than-or-equal-to 9

m>10 and m<9
m greater than 10 and m less than 9

m≥10 and m≤9

1 answer

To accurately select the solution set that corresponds to the graph, I would need to see the graph in question. However, I can help you understand what each option represents so you can determine which one matches the graph:

  1. m>10 or m<9: This means any value of m greater than 10 or any value less than 9.
  2. m≥10 or m≤9: This includes m values that are greater than or equal to 10 or less than or equal to 9.
  3. m>10 and m<9: This implies that m must be both greater than 10 and less than 9 simultaneously, which is not possible.
  4. m≥10 and m≤9: This also implies a contradiction since m cannot be both greater than or equal to 10 and less than or equal to 9 at the same time.

Based on these descriptions, it is clear that options 3 and 4 represent contradictory scenarios, while options 1 and 2 represent valid ranges but with different inclusivity.

If the graph shows two separate intervals (one where m is less than 9 and another where m is greater than 10), then option 1 would be the answer. If the graph includes the endpoints (i.e., shaded at 10 and 9), then option 2 would be correct.

Please determine which graphical characteristics align with the descriptions, and select the appropriate option.