Question

Solve |5x – 8| > 12.
{x| -0.8 < x < 4}
{x| -4 < x < 4}
{x| x > 4 or x < -0.8}
{x| x < -4 or x > 0.8}

Answer 1

with the absolute value there will be two ways to solve this, one giving you the minimum of the range and the other the maximum for the values x can be.
Solve (5x-8) > 12, and Solve -(5x-8) > 12 Remember when you divided by the negative in the second part the inequality sign will change to less than

Answer 2

The reason why there are two ways to solve is because the function (5x-8) could be a positive number or a negative number

Answer 3

Do you understand?