Question

Select the inequality that corresponds to the given graph.

http://broward.flvs.net/webdav/assessment_images/educator_algebra1_v10/05_00_61.jpg

A. 4x – 3y > – 12

B. x + 4y > 4

C. 4x – 2y < – 8

D. 2x + 4y ≥ – 16

Answer 1

@phi @gamer56

Answer 2

It says "Cookie error" when I try to go to that link....

Answer 3

http://broward.flvs.net/webdav/assessment_images/educator_algebra1_v10/05_00_61.jpg

Answer 4

@NinjaDevo

Answer 5

@camerondoherty

Answer 6

Ok, let's start by find thing the equation of this in in the slope-intercept form, then switch it over to the standard form...because that is what all of our answers is in.
This line goes up 4 and over 3, so it's slope must be 4/3. Also, it intercepts at 4 on the y axis.
So, if we forget about the inequality momentarily and just worry about the line..it's equation is:
y = 4/3x + 4

Now, let's pick a point in the shaded area. (0,0) is one, right?
This line has to satisfy the point (0,0), so if we put in 0 for x and 0 for y in this equation, it will have to be true.
(0) = 4/3(0) + 4
0 = 0 + 4
0 = 4
Which sign do we have to put instead of this equal sign? Well, it has to be a < sign, because 0 is less than 4.
It's also good to note that it is not a ≤ sign, because this line is dotted, meaning, nothing on that line satisfy this inequality.

So...now we have
y < 4/3x + 4

Now, let's turn this into the standard form of a line.
y < 4/3x + 4 ---Subtract 4/3x from both sides
y - 4/3x < 4 ---Multiply everything by 3
3y -4x < 12 ---Multiply everything by a negative. this switches the sign
-3y + 4x > -12
4x-3y > -12

And that was your first option. Wow...that was a really inefficient way of doing that. I'm sure there is an easier way.

Answer 7

So A ? and thanks so much btw

Answer 8

No prob.
And yes...it should be A.

Answer 9

thanks