Question

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

Answer 1

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:

$x$

Answer:

$x$