sarah bought at least 15 cases of soda to sell during the dance. write and graph inequality

Let's assume Sarah bought "x" cases of soda to sell during the dance.

Since Sarah bought at least 15 cases of soda, our inequality can be represented as:

x ≥ 15

In this inequality, "x" represents the number of cases of soda Sarah bought, and the greater than or equal to sign (≥) indicates that the number of cases should be 15 or more.

To graph this inequality, we can draw a number line and mark a point at 15 closed (filled circle) since it includes exactly 15. Then, we can shade or indicate all the points to the right of 15 since they satisfy the condition of "x ≥ 15".

Here's the graph representation of the inequality x ≥ 15:

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In this graph, the filled circle indicates the point 15, and the shaded portion represents all the points (on the right side of 15) that satisfy the inequality.