how do i solve the inequality 6x-4y<12

Question

i need to solve the inequality 6x-4y<12

Answer 1

 This you can have the graphical solution:

 

 Graph the line :

 

    6X - 4y = 12

 

   by   X intercept  2 and Y intercept of -3

 

   Then test  a point to the right , i.e.   ( 0,0 )

 

       6( 0) - 4 ( 0 ) < 12

   

      Then shade all area to the right of the line as solution. Dash  the line too, because points on the line are not the solution.

Answer 2

6x-4y<12 add 4y to both sides

6x<4y+12 subtract 12 from both sides

6x-12<4y divide by 4

(6/4)x-3<y or rewrite in more conventional form

y>(3/2)x-3

The solution is all of the points in the plane strictly above the line y=(3/2)x-3

 

Answer 3

You should solve an inequality just like you would solve an equation, except copy your inequality signs instead of the equals (=) sign.  So you want to solve this for y.

 

First, you should isolate the -4y by subtracting 6x from both sides of the inequality.

  6x - 4y < 12

 -6x               -6x

      -4y < 12 - 6x

 

Next, you would divide both sides by -4 to get y by itself.

  -4y < 12 - 6x

 -4      -4    -4

 

When you divide by a negative number, you should flip the inequality sign. Then simplify and write your answer in standard form which would be with the x-term in front of the numerical term.

y < -3 + 3x

            2

y < 3 x - 3

      2