document.write( "Question 647429: How do I solve this inequality for x?\r
\n" ); document.write( "\n" ); document.write( "|1/3 x +1| > |2x-6| \r
\n" ); document.write( "\n" ); document.write( "Thanks I appreciate it! \n" ); document.write( "
Algebra.Com's Answer #406403 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
How do I solve this inequality for x?
\n" ); document.write( "|1/3 x +1| > |2x-6|
\n" ); document.write( "Check out 4 possibilities:
\n" ); document.write( "(1) x/3+1 > 2x-6
\n" ); document.write( "multiply both sides by 3
\n" ); document.write( "x+3>6x-18
\n" ); document.write( "-5x>-21
\n" ); document.write( "x<21/5
\n" ); document.write( "..
\n" ); document.write( "(2)-(x/3+1) > -(2x-6)
\n" ); document.write( "x/3+1< 2x-6
\n" ); document.write( "x+3<6x-18
\n" ); document.write( "-5x<-21
\n" ); document.write( "x>21/5 (reject, does not check)
\n" ); document.write( "..
\n" ); document.write( "(3) (x/3+1) > -(2x-6)
\n" ); document.write( "x/3+1 > -2x+6
\n" ); document.write( "x+3>-6x+18
\n" ); document.write( "7x>15
\n" ); document.write( "x>15/7
\n" ); document.write( "..
\n" ); document.write( "(4)-(x/3+1) > (2x-6)
\n" ); document.write( "(x/3+1) <-(2x-6)
\n" ); document.write( "x+3+1<-6x+18
\n" ); document.write( "7x<15
\n" ); document.write( "x<15/7(reject, does not check)
\n" ); document.write( "..
\n" ); document.write( "solution: (15/7,21/5)\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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