a camera car with a crane is used to film a movie. the crane's max. height is 18ft and the min. height is 4ft. write a compound inequality that describes the possible heights of the crane.
18≥x≤4
What you want to express is that the height is between 4 and 18.
Usually the same inequality sign is used with the smaller on the left and the larger on the right, thus
4 ≤ height ≤ 18 , or 4 ≤ x ≤ 18 if you want to use x
To write a compound inequality that describes the possible heights of the crane, we need to consider that the maximum height of the crane is 18ft and the minimum height is 4ft.
A compound inequality consists of two inequalities joined by the logical operator "and" or "or." In this case, since we want to describe the possible heights of the crane, it should be "and."
The first inequality represents the maximum height, which is 18ft:
x ≤ 18
The second inequality represents the minimum height, which is 4ft:
x ≥ 4
Putting these two inequalities together using "and," we get the compound inequality that describes the possible heights of the crane:
4 ≤ x ≤ 18