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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?
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?
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!