Kaleb and Kobe went to the mall and spent the same amount of money. Kaleb spent less than or equal to $45, while Kobe spent more than $40. The task is to create a number line that shows all possible amounts that Kaleb or Kobe could have spent.

1. Problem Description

Kaleb and Kobe went to the mall and spent the same amount of money. Kaleb spent less than or equal to $45, while Kobe spent more than$

4

0. The task is to create a number line that shows all possible amounts that Kaleb or Kobe could have spent.

2. Solution Steps

Let $x$ be the amount of money that Kaleb and Kobe each spent.

We are given that Kaleb spent less than or equal to $45, so$x \le 45$.

We are also given that Kobe spent more than $40, so$x > 40$.

Combining these inequalities, we have $40 < x \le 45$.

This means that $x$ can be any value greater than $40$ and less than or equal to $45$.

To represent this on a number line, we need to indicate the range of possible values for $x$. Since $x > 40$, we use an open circle at $40$ to indicate that $40$ is not included in the possible values. Since $x \le 45$, we use a closed circle (or a filled-in circle) at $45$ to indicate that $45$ is included in the possible values. We then draw a line segment between $40$ and $45$ to represent all the values between these two numbers.

From the image, the marks on the number line are at intervals of

5. The dot is at

1

5. If each mark is 5, we could add labels of $35, 40, 45$. Then an open circle would be placed just to the right of $40$ and a closed circle at

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5. We would shade the line between these two circles.

3. Final Answer

The solution should be a number line with an open circle just to the right of $40$ and a closed circle at $45$, with the line segment between them shaded.