Question

Which inequality matches the graph?

-2x + 3y > 7

2x - 3y < 7

-3x + 2y ≥ 7

3x - 2y ≤ 7

Answer 1

@texaschic101

Answer 2

@AlexandervonHumboldt2

Answer 3

@Michele_Laino

Answer 4

which ones can we eliinate? Look at the X axis

Answer 5

The third option and the last option

Answer 6

are those the ones elimnated?

Answer 7

yes

Answer 8

Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).

Answer 9

does that help you determine your answer?

Answer 10

There are three steps:

-Rearrange the equation so "y" is on the left and everything else on the right.
-Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
-Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
http://www.mathsisfun.com/algebra/graphing-linear-inequalities.html

Answer 11

So it would be the first one right?

Answer 12

yep i think thats right

Answer 13

Yeah so do I.

Answer 14

Thanks!

Answer 15

:)

Answer 16

2x - 3y < 7
-3y < -2x + 7
y > 2/3x - 7/3
slope is 2/3....y int (0,-7/3)......-7/3 = - 2 1/3
x int can be found by subbing in 0 for y
0 > 2/3x - 7/3
-2/3x = -7/3
x = (-7/3) / (-2/3)
x = -7/3 * -3/2
x = 21/6.....so x int (21/6,0).....21/6 = 3 1/2

and since it is a dashed line, there is no equal sign....and greater then means shaded above.

I believe your graph is B

Answer 17

@FEARLESS_JOCEY