inequality with x^4

[aroesch]

My problem is x^4 - x is less than or equal to 0. Please help

 

[HallsofIvy]

My problem is x^4 - x is less than or equal to 0. Please help

\(\displaystyle x^4 - x= x(x^3 - 1)\)

The product of two number is negative if and only if the numbers are off opposite sign:
either x> 0 and \(\displaystyle x^3- 1< 0\) or x< 0 and \(\displaystyle x^3- 1> 0\). Of course, either equal to 0 would make the product 0.

 

[Quaid]

Please help

Hi aroesch. Are you taking a math class? If so, has the class been making sign charts, to solve inequalities?

Here is a link to Google results for lessons and examples, using sign charts.

If you're not expected to show work on a sign chart, then graphing is an easier way to see solution interval(s) for this exercise.

Check out some lessons, and let us know if you find something that's not clear. Otherwise, please show your work so far.

Here is a link to a summary of the forum guidelines.

Cheers