Question

How do you solve `2n - 5 < n + 2`?

Answer 1

See the entire solution process below:

Explanation:

First, add `color(red)(5)` and subtract `color(blue)(n)` from each side of the inequality to solve for `n` while keeping the inequality balanced:

`2n - 5 + color(red)(5) - color(blue)(n) < n + 2 + color(red)(5) - color(blue)(n)`

`2n - color(blue)(n) - 5 + color(red)(5) < n - color(blue)(n) + 2 + color(red)(5))`

`n - 0 < 0 + 7`

`n < 7`