NEED HELP - MEDALS WILL BE GIVEN Which inequality matches the graph?

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NEED HELP - MEDALS WILL BE GIVEN Which inequality matches the graph?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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To answer this question, you should first write the boundary line in y=mx+b form.
Is this a multiple choice?

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ANSWER CHOICES -2x + 3y 2x - 3y -3x + 2y 3x - 2y
Can you please include the signs of the inequalities as well in your answers?
oh wait there incomplete (oops) > 7 < 7 greater than or = to 7 less than or = to 7
Excellent, now we can start eliminating some of them by virtue of their slopes.
Can you tell me the slope of the boundary line?
I always had a hard time with these
First of all, if the line is increasing, then the slope must be positive right?
I guess
Examining all of the choices you provided, the slopes are all positive. Either 2/3 or 3/2.
Right. But how do you find which one?
If the slope is less than 1, the line is angled less than 45 degrees. If the slope is greater than 1, the line is angled above 45 degrees.
Which of 2/3 or 3/2 makes more sense in this problem?
um, B? I dunno, I don't really understand much
Yes, slope = 3/2 is correct, as it is steeper than 45 degrees.
So we are left with answers C and D.
Oh... I get it.
Excellent, now do you understand how to get the inequality?
Yeah I thinks so. Thank you!

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