Kaleb and Kobe went to the mall and spent the same amount of money. Kaleb spent less than or equal to $45, and Kobe spent more than $40. We need to create a number line to represent the possible amounts they could have spent.

AlgebraInequalitiesNumber LineProblem Solving
2025/4/23

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,andKobespentmorethan45, and Kobe spent more than
4

0. We need to create a number line to represent the possible amounts they could have spent.

2. Solution Steps

Let xx be the amount Kaleb and Kobe spent.
We are given that Kaleb spent less than or equal to 45,so45, so x \le 45$.
We are also given that Kobe spent more than 40,so40, so x > 40$.
Combining these inequalities, we have 40<x4540 < x \le 45.
This means the amount spent is greater than 40butlessthanorequalto40 but less than or equal to
4

5. On a number line, we would represent this by an open circle at $40$ (since $x > 40$) and a closed circle at $45$ (since $x \le 45$). The line between these two points would be shaded or thickened to represent all the possible values of $x$.

3. Final Answer

The possible amounts Kaleb and Kobe could have spent are represented on a number line by an open circle at 4040 and a closed circle at 4545, with the line segment between 4040 and 4545 shaded. The amount spent xx is such that 40<x4540 < x \le 45.

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