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A system of inequalities is graphed on the set of axes below. A ) State the system of inequalities represented by the graph. ) State what region A represents. =) State what the entire gray region represents.

A system of inequalities is graphed on the set of axes below. A ) State the system of inequalities represented by the graph. ) State what region A represents. =) State what the entire gray region represents.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. June 2019 Regents A system of inequalities is graphed on the set of axes below. a) State the system of inequalities represented by the graph. b) State what region A represents. c) State what the entire gray region represents.
Transcribed Image Text:2. June 2019 Regents A system of inequalities is graphed on the set of axes below. a) State the system of inequalities represented by the graph. b) State what region A represents. c) State what the entire gray region represents.
Expert Solution
Step 1

Let us say dotted line represent inequality A and other line represents inequality B.

First we will find equation of line A

Let us take two points from the graph on this line

1,0 and 0,3

m=y2-y1x2-x1=3-00-1=-3

⇒ slope =-3

Now, lets find equation using this slope

 y-y1=mx-x1⇒y-0=-3x-1⇒y=-3x+3 

Now, y<-3x+3

because inequality satisfies 0,0 and line is dotted. 

 

 

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