It is to be noted that the Graph of the indicated inequalities is herewith attached.
<h3>What is the graph of the system?</h3>As indicated above, this is a graph of a system of inequalities, where:
Y > -4x-1 and
y <3/2x-1
<h3>Is the point (-1,1) included in the solution area for the system? </h3>No. the point (-1, 1) is not included in the solution area for the system.
<h3>How do we justify this mathematically?</h3>
Step 1 - Plug in (-1, 1) in to the first equation. where y = -1 and x = 1.
Hence,
-1 > -4(1) -1
4 +1 < -1
4 < 0 (This is False)
Step 2 - Plug in (-1, 1) in to the second equation. where y = -1 and x = 1.
-1 < (3/2)(1) - 1
-1 < 1/2 (This is true).
Thus (-1, 1) is only partially included in the solution area.)
Learn more about inequalities at:
brainly.com/question/9774970
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