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Mathematics 17 Online
Aureo:

System of inequalities from a graph

Aureo:

What system of inequalities corresponds to this graph?

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Aureo:

@Vocaloid

pooja195:

Hi there. Do you have the options for this question?

Aureo:

No options

pooja195:

What system of inequalities corresponds to this graph? "corresponds"

pooja195:

But anyways are you familiar with figuring out equations of a line?

Aureo:

Kind of

pooja195:

https://prnt.sc/h6z27q Can you tell me the equation of this line the highlighted one?

Aureo:

y=1x+4?

pooja195:

Yep now the equation for the 2nd graph

pooja195:

*line

Aureo:

y=1x-1?

pooja195:

You have the right idea, but remember that the slope would be negative because you are going down 1 over one and the line hits the y-axis at +1 not -1

Aureo:

Ooh

pooja195:

Now that we have our two equations : y=1x+4 y=-1x+1 We know that our symbols for both equations will be _______. Will it be less than or greater than?

Aureo:

First: < or = 2nd: > or =

pooja195:

Perfect :) If we were to graph that out we would get the same graph you have given. Nice job :)

Aureo:

Thanks!

pooja195:

You're welcome :)

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