document.write( "Question 992657: 2|2x-9|+4>6 how to solve? I got the answer (4,5) but that is incorrect. and on the graph technically it would go as like (4,oo), (5,oo) those were infinity's lol \n" ); document.write( "

Algebra.Com's Answer #612216 by rothauserc(4718) $\"\"$ $\"About$

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2|2x-9|+4>6
\n" ); document.write( "subtract 4 from both sides of >
\n" ); document.write( "2|2x-9| > 2
\n" ); document.write( "divide both sides of > by 2
\n" ); document.write( "|2x-9| > 1
\n" ); document.write( "we have two cases to consider
\n" ); document.write( "***************************************
\n" ); document.write( "1) 2x-9 > 1
\n" ); document.write( "2x > 10
\n" ); document.write( "x > 5
\n" ); document.write( "2) -(2x-9) > 1
\n" ); document.write( "2x - 9 < -1
\n" ); document.write( "2x < 8
\n" ); document.write( "x < 4
\n" ); document.write( "****************************************
\n" ); document.write( "the solution is
\n" ); document.write( "x < 4 or x > 5
\n" ); document.write( "the intervals are
\n" ); document.write( "(-infinity, 4) or (5, +infinity)
\n" ); document.write( " \n" ); document.write( "

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