Directions: Create an inequality that has no solution.

### Hint

What makes an equation have no solution?

How can you write an inequality with no solution?

### Answer

There are infinitely many answers. One possible answer is

*x < x – *1

Source: Kara Colley

5x > 5x

Could you also have a constraint on what x can be? ex. 1/x > x {for all x >0} is an inequality with no solution. Meaning there ARE solutions, but they are not part of the allowed domain for x.

23x = 23a 2/3