Arectangle with a width of 30cm has a perimeter from 100cm to 160cm. graph a compound inequality that shows the possible lengths of the rectangle.
part a: use the number line below to graph the solution.
part b. what type of compound inequality does your solution represent?
the number line is from 0 to 100 in 10's

Part A) The graph in the attached figure

Part B)  and  

Step-by-step explanation:

Part A)

we know that

The perimeter of a rectangle is equal to

we have

and the perimeter

For

so

For

so

The solution of the possible lengths of the rectangle is the interval

All real numbers greater than or equal to and less than or equal to

see the graph in the attached figure

Part B)

we know that

A compound inequality contains at least two inequalities that are separated by either "and" or "or". The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities.

In this problem

The compound inequality is equal to

 and  

false.

step-by-step explanation:

false.

cavalieri's principle makes that statement about the volumes, not about the areas.

cosine

step-by-step explanation: