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