document.write( "Question 958406: need help just cant figure out these problems , have to solve the equations
\n" ); document.write( "|2x-7|=3
\n" ); document.write( "|x-6|=|2x+1|
\n" ); document.write( "|x-4|<3
\n" ); document.write( "|x/3 - 1|≥2\r
\n" ); document.write( "\n" ); document.write( "thanks
\n" ); document.write( "

Algebra.Com's Answer #585738 by lwsshak3(11628)\"\" \"About 
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.
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