6x+4 <= x-6 < 4x + 10

My work:

6x+4 <= x-6 < 4x + 10

6x+4+6 <= x < 4x+10+6

6x+10 <= x < 4x+16

Not really sure how to finish this...

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- Sep 13th 2009, 11:53 PMAlphaRockHow To Solve This Inequality?
6x+4 <= x-6 < 4x + 10

**My work:**

6x+4 <= x-6 < 4x + 10

6x+4+6 <= x < 4x+10+6

6x+10 <= x < 4x+16

Not really sure how to finish this... - Sep 14th 2009, 02:51 AMFinley
It's much easier if you break it into two separate inequations and then bring the solutions together at the end if necessary:

$\displaystyle 6x+10 < x $

$\displaystyle x < 4x+16 $

Can you finish it off now? - Sep 14th 2009, 02:52 AMAmer