The picture below shows the inequality of what?
Ok, so first, you'll want to calculate the slope, and you know how to do that, right?
Yes the slope is 3
I'd have to say probably #3
and what does the solid red line mean with regard to the inequality sign?
Pardon me, C
The shaded area means values less than (<)
No not C Notice that the line passes through the origin (0,0)
yea the slope is 3
as it passes through the origin . it means that when x = 0 y = 0 for C when x = 0 y = 2 2 = 3(0) + 2 so it cant be C
So C?
No as i explained above it cant be C
Okay
the solid line means that values ON the line are included in the inequality - if thay were not the line would be dotted.
so the inequality sign is |dw:1428599566916:dw|
SO A
what about y <= 3x - does y and x = 0 fit that?
yes
0 <= 3(0) 0 ,= 0
A is correct
you can take out some of the answer choices just by knowing that it has to be greater than or equal to, or less than or equal too because the line is a solid line. That gets rid of choice b, e, and f
yes
then you can take out the ones with a y intercept because the y intercept is (0, 0) so that gets rid of c
then you pick the one that shows y is less than or equal to becase the shading is below the line so the answer is A
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