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 #854580 by ikleyn(53937)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "need help just cant figure out these problems , have to solve the equations
\n" ); document.write( "(a) |2x-7|=3
\n" ); document.write( "(b) |x-6|=|2x+1|
\n" ); document.write( "(c) |x-4|<3
\n" ); document.write( "(d) |x/3 - 1|≥2
\n" ); document.write( "thanks
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
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\n" ); document.write( "\n" ); document.write( "        In the post by @lwsshar3, the solutions and the answers to problems (c) and (d) are incorrect.\r
\n" ); document.write( "\n" ); document.write( "        I came to provide correct solutions to these problems.\r
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\n" ); document.write( "\n" ); document.write( ".. problem (c)
\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: 1 < x < 7.\r
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\n" ); document.write( "\n" ); document.write( ".. problem (d)
\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 <= -3 or x >= 9.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solved correctly. \r
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