Question

How do you solve `1- 6n > - 7- 8n`?

Answer 1

See the entire solution process below:

Explanation:

First, subtract `color(red)(1)` and add `color(blue)(8n)` to each side of the inequality to isolate the `n` term while keeping the inequality balanced:

`-color(red)(1) + 1 - 6n + color(blue)(8n) > -color(red)(1) - 7 - 8n + color(blue)(8n)`

`0 + (-6 + color(blue)(8))n > -8 - 0`

`2n > -8`

Now, divide each side of the inequality by `color(red)(2)` to solve for `n` while keeping the inequality balanced:

`(2n)/color(red)(2) > -8/color(red)(2)`

`(color(red)(cancel(color(black)(2)))n)/cancel(color(red)(2)) > -4`

`n > -4`