document.write( "Question 970624: Does anyone knows what this means
\n" ); document.write( "|4x+3|£5
\n" ); document.write( "-3<2x-3£11
\n" ); document.write( "I have no idea what this symbol \"£\" means in these problem.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #602723 by Edwin McCravy(20086)\"\" \"About 
You can put this solution on YOUR website!
Does anyone knows what this means
\n" ); document.write( "|4x+3|£5
\n" ); document.write( "-3<2x-3£11
\n" ); document.write( "I have no idea what this symbol \"£\" means in these problem.
\n" ); document.write( "
\r\n" );
document.write( "The symbol \"£\" mean \"pound\" (money) in some countries such as England.\r\n" );
document.write( "But I think the symbol you're talking about is ≤ which means less than \r\n" );
document.write( "or equal to. \r\n" );
document.write( "\r\n" );
document.write( "|4x+3| ≤ 5    \r\n" );
document.write( "\r\n" );
document.write( "To solve that we write the |4x+3| as ±(4x+3)\r\n" );
document.write( "\r\n" );
document.write( "±(4x+3) ≤ 5\r\n" );
document.write( "\r\n" );
document.write( "and write as two separate inequalities one with + and one with -\r\n" );
document.write( "\r\n" );
document.write( "+(4x+3) ≤ 5            -(4x+3) ≤ 5\r\n" );
document.write( "   4x+3 ≤ 5              -4x-3 ≤ 5\r\n" );
document.write( "     4x ≤ 2                -4x ≤ 5\r\n" );
document.write( "      x ≤ 2/4                x ≥ -4/5\r\n" );
document.write( "      x ≤ 1/2\r\n" );
document.write( "\r\n" );
document.write( "Rewrite  x ≥ -4/5 as -4/5 ≤ x  and write  ≤ 1/2 on the right:\r\n" );
document.write( "\r\n" );
document.write( "Answer:\r\n" );
document.write( "\r\n" );
document.write( "  -4/5 ≤ x  ≤ 1/2\r\n" );
document.write( "  \r\n" );
document.write( "----------------------------\r\n" );
document.write( "\r\n" );
document.write( "-3 < 2x-3 ≤ 11      Add 3 to all three sides to solve for x in the middle:\r\n" );
document.write( "+3     +3   +3 \r\n" );
document.write( "--------------\r\n" );
document.write( " 0 < 2x   ≤ 13\r\n" );
document.write( "\r\n" );
document.write( "Divide all three sides by 2\r\n" );
document.write( "\r\n" );
document.write( " 0 < x ≤ 13/2\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );