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Pearson Algebra 1 Common Core, 2011 View details

1. Inequalities and Their Graphs

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Exercise 30 Page 168

Does the solution set in the given graph lie to the left or right of the endpoint? What does the closed circle indicate?

x≤8

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Before we can write an inequality for the given graph, we need to take note of the endpoint and the direction of the inequality.

First, we see that the circle at the endpoint is closed. This means that the inequality is non-strict, and 8 is included in the solution set. Next, we observe that the solution set lies to the left of the endpoint. Using x to represent the solution set, we can say that any value of x is less than or equal to 8. x≤8