Thread: inequalities with two absolute values

Hey guys

how you doing??

i am having a huge trouble with this

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

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

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:
$\displaystyle \\9x^2-24x+16>4x^2+12+9\\5x^2-36x+7>0\\(5x-1)(x-7)>0\\x<\tfrac{1}{5}\text{ or }7<x~.$

thanks