document.write( "Question 474789: solve Absolute value of 2x-3 is less than or equal to 8x+1 \n" ); document.write( "
Algebra.Com's Answer #328955 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
solve Absolute value of 2x-3 is less than or equal to 8x+1
\n" ); document.write( "**
\n" ); document.write( "|2x-3|≤8x+1
\n" ); document.write( "first condition
\n" ); document.write( "2x-3≤8x+1
\n" ); document.write( "-6x≤4
\n" ); document.write( "divide by -6 and switch inequality sign
\n" ); document.write( "x≥-4/6=-2/3
\n" ); document.write( "x≥-2/3 (reject, does not check)
\n" ); document.write( "second condition
\n" ); document.write( "-(2x-3)≤8x+1
\n" ); document.write( "divide by -1 and switch inequality sign
\n" ); document.write( "2x-3≥-8x-1
\n" ); document.write( "10x≥2
\n" ); document.write( "x≥2/10=1/5
\n" ); document.write( "x≥1/5
\n" ); document.write( "..
\n" ); document.write( "solution:
\n" ); document.write( "x≥1/5
\n" ); document.write( "
\n" );