Affiliate Even when the inequalities are more complicated, the above pattern still holds. And I really want you to internalize this visualization here. So this was the situation. I don't want to make a careless mistake there.
Now we don't care if it's above or below, we just care about the absolute distance fromor the absolute value of that difference, so we took the absolute value. To start, I look at the endpoints.
This is an example of case 3. Let's do it over here, too. In order for the absolute value of anything to be greater than or equal to 21, what does it mean?
But if we kind of keep our head on straight about what absolute value really means, I think you will find that it's not that bad.
Or you divide both sides of this by 7, you get x is greater than or equal to 3. Then click the button and select "Solve for x" to compare your answer to Mathway's.