Question

greenville has a town - wide hunt for plastic dinosaur eggs every spring. tanner and his sister, tess, participate every year. tanner found 25 eggs this year, but tess found more. let e represent the number of eggs that tess could have found. which inequality models the story? \\(e > 25\\) \\(e \geq 25\\) \\(e < 25\\) \\(e \leq 25\\) graph the inequality that models the story. to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it. \\(\leftarrow\\) \\(\underset{20}{}\\) \\(\underset{21}{}\\) \\(\underset{22}{}\\) \\(\underset{23}{}\\) \\(\underset{24}{}\\) \\(\underset{25}{}\\) \\(\underset{26}{}\\) \\(\underset{27}{}\\) \\(\underset{28}{}\\) \\(\underset{29}{}\\) \\(\underset{30}{}\\) \\(\
ightarrow\\)

Explanation:

Step1: Analyze the problem

Tanner found 25 eggs, and Tess found more. So the number of eggs Tess found (\(e\)) must be greater than 25.

Step2: Choose the correct inequality

The inequality \(e > 25\) means \(e\) is greater than 25, which matches the situation. \(e\geq25\) would mean Tess found at least 25 (including 25), but the problem says she found more, so not including 25. \(e < 25\) and \(e\leq25\) are the opposite of what we need.

Step3: Graph the inequality \(e > 25\)

• The endpoint is at 25. Since \(e\) is greater than 25 (not equal), the endpoint is open (not filled).
• The arrow points to the right (towards numbers greater than 25).

Answer:

The inequality is \(e > 25\). For the graph: Plot an open circle at 25 on the number line and draw an arrow to the right (towards 26, 27, etc.).