5. Elanor is driving below the speed limit on a highway. a. Write the inequality to show how much faster Elanor can drive without going over the speed limit.

To express how much faster Elanor can drive without exceeding the speed limit, we need to define the variables involved: - Let \( s \) represent Elanor's current speed. - Let \( L \) represent the speed limit. Since Elanor is driving below the speed limit, we can express this situation with the following inequality: \[ s < L \] To show how much faster Elanor can drive without going over the speed limit, we can rearrange this inequality to express the maximum speed she can drive: \[ L - s > 0 \] This means that the difference between the speed limit and Elanor's current speed must be greater than zero, indicating that she can still increase her speed without exceeding the limit. Thus, the inequality that shows how much faster Elanor can drive without going over the speed limit is: \[ L - s > 0 \] This indicates that Elanor can drive up to \( L \) but not exceed it.