can someone check to see if these inequality equations are the correct standard form?

y>_-3/2x+6 = 3x+2y>_12
y>-3x+6 = 3x-y>6
y>3x-6 = 3x+y>6
y<3x-6 = 3x-y<6
y<_-3/2+6 = 3x+2y<_12

Hmm I get

3x+2y >= 12
3x+y > 6
-3x+y > -6 or 3x-y < 6
-3x+y < -6 or 3x-y > 6
3x+2y <= 12