The answer depends on whether you're looking for the x or the y. If y, the answers are the ones on the left, and the x on the right.
1) -4x + 3y ≤ 15 -4x + 3y ≤ 15
+4x +4x -3y -3y
3y ≤ 4x + 15 -4x ≤ -3y + 15
--- --------- ---- ------------
3 3 -4 -4
y ≤ 4/3x + 5 x ≥ 3/4y + 11
2) -6x - 4y < 12 -6x - 4y < 12
+6x +6x +4y +4y
-4y < 6x +12 -6x < 4y + 12
---- ---------- ---- -----------
-4 -4 -6 -6
y > -3/2 - 3 x > -2/3y - 2