How do you solve 28> 10- 9x?

1 Answer
Dec 4, 2017

See a solution process below:

Explanation:

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