Thread: SYSTEM OF INEQUALITIES!!! HOW DO I SOLVE THIS?!

Y< 4x+3
y> -3x-3

I have no idea what I'm doing, I have no resources.

Hello, sukisaturn!

You've never done one of these before?
Then I'll give you a mini-lesson.

A one-variable inequality can be graphed on a number line.

For example: .

Code:

      - - * - - - o = = = = =
          0       2

A two-variable inequality is graph on a plane.


To graph:
. . we graph the line:

Because it says " ", we shade the region below the line.

Code:

          |   /::::
          |  /::::
          | /::::
          |/:::::
          *:::::
         /|::::
    - - *:+:-:- - -
       /::|:::
      /:::|::
     /::::|::
          |

To graph
. . we graph the line:
Because it says " ", we shade the region above the line.

Code:

          |
     \::::|:::
      \:::|::::
       \::|::::
    - - *:+:-:- - -
         \|:::::
          *:::::
          |\:::::
          | \:::: 
          |  \

The final answer is the region that has been shaded twice.

Code:

          |
          |  /::
          | /:::
     \    |/::::
      \   *:::::
       \ /|:::::
    - - *:+:-:-:- -
       / \|:::::
      /   *:::::
     /    |\::::
          | \::: 
          |  \::
          |

This shaded region represents billions of points with coordinates
. . which satisfy both given inequalities.