Question

What are three values of `x` that satisfy `9-x>=6.2`?

Answer 1

`x <= 2.8`

Explanation:

First, subtract `color(red)(9)` from each side of the inequality to isolate the `x` term while keeping the inequality balanced:

`9 - x - color(red)(9) >= 6.2 - color(red)(9)`

`9 - color(red)(9) - x >= -2.8`

`0 - x >= -2.8`

`-x >= -2.8`

Now, multiply each side of the inequality by `color(blue)(-1)` to solve for `x` while keeping the inequality balanced. Additionally, because we are multiplying or dividing the inequality by a negative term we must reverse the inequality.

`color(blue)(-1) xx -x color(red)(<=) color(blue)(-1) xx -2.8`

`x color(red)(<=) 2.8`