Question

How do you simplify `8+ 10f > 14- 2f`?

Answer 1

See a solution process below:

Explanation:

Step 1) Subtract `color(red)(8)` and add `color(blue)(2f)` to each side of the inequality to isolate the `f` term while keeping the inequality balanced:

`-color(red)(8) + 8 + 10f + color(blue)(2f) > -color(red)(8) + 14 - 2f + color(blue)(2f)`

`0 + (10 + color(blue)(2))f > 6 - 0`

`12f > 6`

Step 2) Divide each side of the inequality by `color(red)(12)` to solve the inequality for `f` while keeping the inequality balanced:

`(12f)/color(red)(12) > 6/color(red)(12)`

`(color(red)(cancel(color(black)(12)))f)/cancel(color(red)(12)) > 1/2`

`f > 1/2`