Question

represent the speed limit sign on the number line
the image on the last slide showed a speed limit sign that said
\speed limit 70; minimum 40\

this is an example of an and inequality. your speed must be
both greater than 40 mph and less than 70 mph.

drag the points on the graph to the left to represent the
inequality. check your work on the next slide.
25 mph
95 mph
50
75
100

Explanation:

Step1: Analyze the inequality

The speed \( v \) must satisfy \( 40 < v < 70 \). So we need to mark the interval from 40 to 70 on the number line.

Step2: Adjust the left point

The left - most point (representing the minimum speed 40) should be moved to 40. Looking at the number line, the current left point is at 25, we need to drag it to 40.

Step3: Adjust the right point

The right - most point (representing the maximum speed 70) should be moved to 70. The current right point is at 95, we need to drag it to 70.

Answer:

Drag the left point (originally at 25) to 40 and the right point (originally at 95) to 70 on the number line to represent the inequality \( 40 < v < 70 \) (where \( v \) is the speed in mph).