Need some help with proofs with transformations picture included
1 answer:
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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