document.write( "Question 21357: Solve |3x-7|>=2 \n" ); document.write( "
Algebra.Com's Answer #10259 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! |3X-7|>=2 \n" ); document.write( "CASE 1... 3X-7=POSITIVE...THEN |3X-7|=3X-7..HENCE \n" ); document.write( "3X-7>=2 \n" ); document.write( "3X>=7+2=9 \n" ); document.write( "X>=9/3=3 \n" ); document.write( "SO X>=3 \n" ); document.write( "CASE 2...3X-7=NEGATIVE..THEN..|3X-7|=-(3X-7)=-3X+7...HENCE \n" ); document.write( "-3X+7>=2...... \n" ); document.write( "-3X>=2-7=-5 \n" ); document.write( "X<=-5/-3=5/3...(NOTE THAT INEQUALITY REVERSES IF WE DIVIDE OR MULTIPLY WITH NEGATIVE NUMBER..FOR EX...5>3...BUT.....-5<-3....) \n" ); document.write( "SO X<=5/3...HENCE THE TOTAL SOLUTION SET IS X>=3 AND X<=5/3 \n" ); document.write( " |