Question

Solve for x: x − 2 > 2x + 12. x > 14 x < 14 x > −14 x < −14

Answer 1

The guys above is wrong because it should be x < -14 because you have to balance out both sides of the equation, you can't just do something to one side of the equation and not do it to the other.

Explanation:

Answer 2

For this case we must solve the following inequality:

`x-2> 2x + 12`

We follow the steps below:

We subtract 2x on both sides of the inequality:

`x-2-2x> 2x + 12-2x\\-x-2> 12`

We add 2 to both sides of the inequality:

`-x> 14`

We multiply by -1 on both sides of the inequality, taking into account that the sense of inequality changes:

`x <14`

Answer:

`x <14`