Question

How do you solve `2h+8>3h-6`?

Answer 1

`h < 14`

Explanation:

First, you do the necessary mathematics to isolate the `h` term on one side of the inequality and the constants on the other side of the inequality while keeping the inequality balanced:

`2h + 8 - color(red)(2h) + color(blue)(6) > 3h - 6 - color(red)(2h) + color(blue)(6)`

`2h - color(red)(2h) + 8 + color(blue)(6) > 3h - color(red)(2h) - 6+ color(blue)(6)`

`0 + 8 + color(blue)(6) > 3h - color(red)(2h) - 0`

`14 > h`

Or, to solve in terms of `h` we need to flip or reverse the inequality:

`h < 14`