document.write( "Question 229289: -|3n-5| is greater than or equal to 7n-15\r
\n" ); document.write( "\n" ); document.write( "I don't understand how to show the absolute value when it is negative.
\n" ); document.write( "Please show good, concise steps. \n" ); document.write( "
Algebra.Com's Answer #170043 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
-|3n-5|>=7n-15
\n" ); document.write( "-3n+5>=7n-15
\n" ); document.write( "-3n-7n>=-15-5
\n" ); document.write( "-10n>=-20
\n" ); document.write( "n<=-20/-10 [Note: when dividing by a negative value the > sign changes to a < sign]
\n" ); document.write( "n<=2 ans.
\n" ); document.write( "Proof:
\n" ); document.write( "Let n=1.9
\n" ); document.write( "-[3*1.9-5]>=7*1.9-15
\n" ); document.write( "-[5.7-5]>=13.3-15
\n" ); document.write( "-[.7]>=-1.7
\n" ); document.write( "-.7>=-1.7
\n" ); document.write( "--------------------------
\n" ); document.write( "-[3n-5]>=-(7n-15)
\n" ); document.write( "-3n+5>=-7n+15
\n" ); document.write( "-3n+7n>=15-5
\n" ); document.write( "4n>=10
\n" ); document.write( "n>=10/4
\n" ); document.write( "n>=2.5 ans.
\n" ); document.write( "Proof:
\n" ); document.write( "Let x=2.6
\n" ); document.write( "-[3*2.6-5]>=-(7*2.6-15)
\n" ); document.write( "-(7.8-5]>=-(18.2-15)
\n" ); document.write( "-(2.8)>=-3.8
\n" ); document.write( "-2.8>=-3.8
\n" ); document.write( " \n" ); document.write( "
\n" );