Question

How do you solve `2x-6\geq x+27`?

Answer 1

See a solution process below:

Explanation:

Add `color(red)(6)` and subtract `color(blue)(x)` from each side of the inequality to solve for `x` while keeping the inequality balanced:

`2x - color(blue)(x) - 6 + color(red)(6) >= x - color(blue)(x) + 27 + color(red)(6)`

`2x - 1color(blue)(x) - 0 >= 0 + 33`

`(2 - 1)color(blue)(x) >= 33`

`1color(blue)(x) >= 33`

`x >= 33`