A graph which represents the solution set for the compound inequality is shown in the image attached below.
In order to determine the graph which represents the solution set for the compound inequality, we would evaluate the given inequalities as follows.
Given the following inequalities:
⅓x + 10 ≥ 7
x - 10 ≥ 7
For the first inequality, we have:
⅓x + 10 ≥ 7
Multiply all through by 3;
x + 30 ≥ 21
x ≥ 21 - 30
x ≥ -9 ⇒ x < 9.
For the first inequality, we have:
x - 10 ≥ 7
x ≥ 7 + 10
x ≥ 17.
In conclusion, a graph which represents the solution set for the compound inequality is shown by using the number line in the image attached below.
Read more on inequalities here: https://brainly.com/question/24372553
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