1) Divide both sides by-4.
[tex]x < - \frac{6y - 54}{4} [/tex]
2) Factor out the common term 6.
[tex]x < - \frac{6(y - 9)}{4} [/tex]
3) Simplify 6(y-9)/4 to 3 ( y - 9) / 2.
[tex]x < - \frac{3(y - 9)}{2} [/tex]
Therefor, the answer for x is x < - 3(y - 9)/2.
[tex] - 4x + 54 > 6y[/tex]
[tex] \frac{ - 4x + 54}{6} > y[/tex]
[tex] \frac{ - 2(2x - 27)}{6} > y[/tex]
[tex] - \frac{2(2x - 27)}{6} > y[/tex]
[tex] - \frac{2x - 27}{3} > y[/tex]
[tex]y < - \frac{2x - 27}{3} [/tex]
Therefor, the answer for Y is y < - 2x-27/3.
