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2 answers:
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Answer:
The system of inequalities is
Step-by-step explanation:
step 1
Find the equation of the solid blue line
Let
Find the slope of AB
The equation of the line into slope intercept form is equal to
we have
----> the point A is the y-intercept
substitute
-----> equation of the solid blue line
The solution of the inequality is the shaded area above the solid line
therefore
The first inequality is
step 2
Find the equation of the dashed red line
Let
Find the slope of CD
The equation of the line into slope intercept form is equal to
we have
----> the point C is the y-intercept
substitute
-----> equation of the dashed red line
The solution of the inequality is the shaded area below the dashed line
therefore
The second inequality is
The system of inequalities is
The graph of all the inequalities are given below.
<h3>What is inequality?</h3>Inequality is defined as an equation that does not contain an equal sign.
This part of the question is for simplifying your work: Make a graph and shadow the interested regions of the inequalities in the given picture.
y ≥ x, the region is left to the line.
y < -(3/7)x – 7, the region is left to the line.
y ≤ (5/3)x – 8, the region is right to the line.
y ≥ 14 – (11/12)x, the region is right to the line.
y = -(3/2)x + 5, this is the equation of line.
All the graphs are shown below.
More about the inequality link is given below.
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