Using the Factor Theorem, the inequality that represents the given region is:

<h3>What is the Factor Theorem?</h3>
The Factor Theorem states that a polynomial function with roots
is given by:

In which a is the leading coefficient.
The roots are given as follows:

Hence:
y = a(x + 40)(x - 50)
It includes the point (-55,-75), hence:
-75 = a(-55 + 40)(-55 - 50)
a = 75/(15 x 105)
a = 1/21
Hence the region less than the equation is:

More can be learned about the Factor Theorem at brainly.com/question/24380382
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