How do you solve the x in -ax+2b>8?

1 Answer
Jan 2, 2017

See full solution process details below:

Explanation:

The first step is to subtract color(blue)(2b) from each side of the inequality to isolate the x term:

-ax + 2b - color(blue)(2b) > 8 - color(blue)(2b)

-ax + 0 > 8 - color(blue)(2b)

-ax > 8 - color(blue)(2b)

Now we can divide each side of the inequality by color(red)(-a) to solve for x and keep the inequality balanced.

However, because we are multiplying or dividing by a negative term we need to also reverse the inequality:

(-ax)/color(red)(-a) color(green)(<) (8 - color(blue)(2b))/color(red)(-a)

(color(red)(cancel(color(black)(-a)))x)/cancel(color(red)(-a)) color(green)(<) (8 - color(blue)(2b))/color(red)(-a)

x < (8 - 2b)/-a