Choose the graph below that represents the following system of inequalities.
y >= -3x + 1
y <= x + 3
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OpenStudy (anonymous):
Graphs:
OpenStudy (anonymous):
As you can see all the y-intercepts are the same
OpenStudy (anonymous):
yes they are. so now what do we do?
OpenStudy (anonymous):
Lets pick the first equation: \[y \ge -3x+1\].
Which one is that one?
OpenStudy (anonymous):
huh? i dont really understand the question.
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OpenStudy (anonymous):
Find the line on the graph the matches the first equation. It has a characteristic of a y-intercept at 1.
OpenStudy (anonymous):
oh ok! hold on
OpenStudy (anonymous):
i dont know:(
OpenStudy (anonymous):
It is the line that intersects at 1 on the y-axis. Do you see it? If not is the steeper one.
OpenStudy (anonymous):
yes i do
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OpenStudy (anonymous):
can u just tell me what the answer is? im sorry but im running out of time..
OpenStudy (anonymous):
Ok when you do inequalities, you have to test points to see if it will work in the equation. The easiest point to test is always (0,0). So when you put 0 in for x and 0 in for y is the statement true or false?
OpenStudy (anonymous):
true.
OpenStudy (anonymous):
Are you sure? Let me show how to do it.
|dw:1373315886181:dw|
Is 0 greater than 1?