document.write( "Question 490455: Hi, I am having trouble solving this inequality:\r
\n" ); document.write( "\n" ); document.write( "2x≤5-7x<7+x\r
\n" ); document.write( "\n" ); document.write( "The answer my textbook gives (in interval notation) is: (-1/4, 5/9]\r
\n" ); document.write( "\n" ); document.write( "I have tried several different ways of solving this problem but have not been successful. I would greatly appreciate any help you can provide.\r
\n" ); document.write( "\n" ); document.write( "Thank you!
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Algebra.Com's Answer #334097 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
2x≤5-7x<7+x
\n" ); document.write( "The answer my textbook gives (in interval notation) is: (-1/4, 5/9]
\n" ); document.write( "-----------------------
\n" ); document.write( "Solve: 2x <= 5-7x
\n" ); document.write( "9x<=5
\n" ); document.write( "x <= 5/9
\n" ); document.write( "-------------------
\n" ); document.write( "Solve: 5-7x < 7+x
\n" ); document.write( "8x > -2
\n" ); document.write( "x > -1/4
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\n" ); document.write( "Solution
\n" ); document.write( "-1/4 < x <= 5/9\r
\n" ); document.write( "\n" ); document.write( "----
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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