Question

Which inequality matches the graph?

-2x + 3y > 7

2x - 3y < 7

-3x + 2y ≥ 7

3x - 2y ≤ 7

Answer 1

The shaded part of the graph is the true part.

Answer 2

so find a point to plug into the x and y of each equation, and which ever makes sense is the right one.

Answer 3

Would it be C

Answer 4

No, is there a reason you said C?

Answer 5

Well, I just thought because I tried plugging in the equation to the graph..

Answer 6

so..

Answer 7

Try plugging (0,0) into x and y of the equations. I chose (0,0) because it is shaded and you have to know that the shaded part of the graph are valid points that make the equation true. So plug (0,0) into all the equations.
-2(0)+3(0)>7
0>7 zero can never be greater than 7. so thats out of the picture.
2(0)-3(0)<7 Zero is less than 7 so that could be a possible solution, we keep that for now.
-3(0)-2(0)>=7 again zero can never be less than or equal to 7, thats outta the picure.
3(0)-2(0)<=7 Zero is less than 7 but not greater than 7, so there is a partial solution to that.

Answer 8

oh ok... SO would it be...

Answer 9

B

Answer 10

The two possible equation that make the graph could be either
2x-3y<7
or
3x-2<=7

Answer 11

Oh, I get it! Thank you!

Answer 12

wait we are not done yet.

Answer 13

oh. sorry

Answer 14

Now we find another point and see which is the actual equation for this graph.

Answer 15

So try choosing a point that is actually on the line for example (1,-2)

Answer 16

Plug 1,-2 into both of the equation and see which one makes sense, the one that makes sense is the actual equation for the graph.

Answer 17

This time you try it.

Answer 18

Oh btw, If the line is dotted that the sign of the inequality will be "<" there will be no line under the sign. If the line of the graph is not dotted, meaning its an acutal line then there will be an a sign with like this "<" but with a line underneath it. so in this case it will be the last equation.

Answer 19

3x-2y<=7 is the right equation for the graph.

Answer 20

Thank you!