document.write( "Question 958406: need help just cant figure out these problems , have to solve the equations
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document.write( "|2x-7|=3
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document.write( "|x-6|=|2x+1|
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document.write( "|x-4|<3
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document.write( "|x/3 - 1|≥2\r
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document.write( "thanks \n" );
document.write( "
Algebra.Com's Answer #585738 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! need help just cant figure out these problems , have to solve the equations \n" ); document.write( "|2x-7|=3 \n" ); document.write( "case 1: \n" ); document.write( "2x-7=3 \n" ); document.write( "2x=10 \n" ); document.write( "x=5 \n" ); document.write( "case 2: \n" ); document.write( "-(2x-7)=3 \n" ); document.write( "2x-7=-3 \n" ); document.write( "2x=4 \n" ); document.write( "x=2 \n" ); document.write( "solution: (x=5 or x=2) \n" ); document.write( ".. \n" ); document.write( "|x-6|=|2x+1| \n" ); document.write( "case 1 \n" ); document.write( "x-6=2x+1 \n" ); document.write( "x=-7 \n" ); document.write( ".. \n" ); document.write( "case 2 \n" ); document.write( "x-6=-(2x+1) \n" ); document.write( "x-6=-2x-1 \n" ); document.write( "3x=5 \n" ); document.write( "x=5/3 \n" ); document.write( "solution: x=5/3 or x=-7 \n" ); document.write( ".. \n" ); document.write( "|x-4|<3 \n" ); document.write( "case 1 \n" ); document.write( "x-4<3 \n" ); document.write( "x<7 \n" ); document.write( ".. \n" ); document.write( "case2 \n" ); document.write( "-(x-4)<3 \n" ); document.write( "x-4<-3 \n" ); document.write( "x<1 \n" ); document.write( "solution: x<7 or x<1 \n" ); document.write( ".. \n" ); document.write( "|x/3 - 1|≥2 \n" ); document.write( "case 1 \n" ); document.write( "x/3-1≥2 \n" ); document.write( "x/3≥3 \n" ); document.write( "x≥9 \n" ); document.write( "case2 \n" ); document.write( "x/3-1≥-2 \n" ); document.write( "x/3≥-1 \n" ); document.write( "x≥-3 \n" ); document.write( "solution: x=9 or x=-3 \r \n" ); document.write( "\n" ); document.write( "note: cases 1 and 2 check out the possibility that what's between the absolute signs could be positive or negative. \n" ); document.write( " |