Question 1160569


Inequalities with no solution:

What you're looking for in the case of inequalities with no solution is nonsense. Yes, that's right: you are looking for nonsense. If you come across an inequality that indicates information that is not true, then the inequality has no solution.

Let's look at a few examples.

{{{abs(2x+7)<=-4}}}-> nonsense (no solutions exist)

Why?  Absolute values can't be less than or equal to {{{negative}}} numbers.

Simplify this inequality. Is there a solution or not?

{{{5x-9>3x+4+2x}}}  No. The simplified inequality is nonsense.
{{{5x-9>5x+4 }}}
{{{-9>4}}}-> nonsense (no solutions exist)