In Randy's town all stand alone store front signs must be exactly 8 feet high. When mounted atop a pole , the combined height of the sign and pole must be less than 20 feet or greater than 35 feet so that they dont interfere with the power and phone lines. Write a compound Inequality to represent the possible above ground height of the pole.

or

Step-by-step explanation:

Given

Required

Represent as a compound inequality

Let the pole height be x:

So, the combine height of the pole and the sign is

The height must be less than 20ft.

So, we have:

Subtract 8 from both sides

or The height must be less than35ft

So, we have:

Subtract 8 from both sides

So, the compound inequality is:

or

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square