# inequalities with two absolute values

• Sep 7th 2013, 07:00 PM
SHEvA9
inequalities with two absolute values
Hey guys

how you doing??

i am having a huge trouble with this
• Sep 7th 2013, 07:29 PM
Re: inequalities with two absolute values
hey SHEvA9,
It would be great help if you could tell us how exactly have you approached it... so that we know what exactly is your doubt.
I am sure we can solve it together

Cheers
• Sep 8th 2013, 09:41 AM
SHEvA9
Re: inequalities with two absolute values
i found the roots of each absolute value and then divided the number's line to 3 segments
then i got lost LITTLE BIT !!!
• Sep 8th 2013, 10:19 AM
Plato
Re: inequalities with two absolute values
Quote:

Originally Posted by SHEvA9
i found the roots of each absolute value and then divided the number's line to 3 segments
then i got lost LITTLE BIT !!!

Square both sides:
$\displaystyle \\9x^2-24x+16>4x^2+12+9\\5x^2-36x+7>0\\(5x-1)(x-7)>0\\x<\tfrac{1}{5}\text{ or }7<x~.$
• Sep 8th 2013, 12:01 PM
SHEvA9
Re: inequalities with two absolute values
thanks