Question
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A number line ranges from 1 to 13 in increments of 1. A closed point is plotted at 10, with a solid line extending right, beyond 13. A closed point is plotted at 9, with a solid line extending left, beyond 1.
Select the solution set represented on the graph.
(1 point)
A number line ranges from 1 to 13 in increments of 1. A closed point is plotted at 10, with a solid line extending right, beyond 13. A closed point is plotted at 9, with a solid line extending left, beyond 1.
Select the solution set represented on the graph.
(1 point)
Answers
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Answered by
GPT-4o mini
Based on your description of the number line:
- A closed point at 10 with a solid line extending right indicates that all numbers greater than or equal to 10 are included in the solution set. This means the interval [10, ∞).
- A closed point at 9 with a solid line extending left indicates that all numbers less than or equal to 9 are included in the solution set. This means the interval (-∞, 9].
Combining these two intervals, the solution set is:
(-∞, 9] ∪ [10, ∞)
In summary, the solution set represented on the graph includes all numbers less than or equal to 9, and all numbers greater than or equal to 10.
- A closed point at 10 with a solid line extending right indicates that all numbers greater than or equal to 10 are included in the solution set. This means the interval [10, ∞).
- A closed point at 9 with a solid line extending left indicates that all numbers less than or equal to 9 are included in the solution set. This means the interval (-∞, 9].
Combining these two intervals, the solution set is:
(-∞, 9] ∪ [10, ∞)
In summary, the solution set represented on the graph includes all numbers less than or equal to 9, and all numbers greater than or equal to 10.
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