First, subtract color(red)(10) from each side of the inequality to isolate the x term while keeping the inequality balanced:
28 - color(red)(10) > 10 - color(red)(10) - 9x
18 > 0 - 9x
18 > -9x
Now, divide each side of the inequality by color(blue)(-9) to solve for x while keeping the inequality balanced. However, because we are multiplying or dividing and inequality by a negative number we must reverse the inequality operator:
18/color(blue)(-9) color(red)(<) (-9x)/color(blue)(-9)
-2 color(red)(<) (color(red)(cancel(color(black)(-9)))x)/cancel(color(blue)(-9))
-2 < x
To state the solution in terms of x we can reverse or "flip" the entire inequality:
x > -2