document.write( "Question 223784: Write an inequality for each relationship. Solve each inequality
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document.write( "Four more than twice a number is greater than two-thirds of the number \n" );
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Algebra.Com's Answer #167460 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Four more than twice a number is greater than two-thirds of the number \n" ); document.write( "written as: \n" ); document.write( "2x + 4 > \n" ); document.write( ": \n" ); document.write( "Subtract 4 from both sides: \n" ); document.write( "2x > \n" ); document.write( ": \n" ); document.write( "subtract \n" ); document.write( "2x - \n" ); document.write( ": \n" ); document.write( "which is \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Multiply both sides by 3 to get rid of the denominator \n" ); document.write( "4x > 3(-4) \n" ); document.write( "4x > -12 \n" ); document.write( ": \n" ); document.write( "Divide both sides by 4 \n" ); document.write( "x > \n" ); document.write( "x > -3 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution with a value that is greater than -3, say -2 \n" ); document.write( "2(-2) + 4 > \n" ); document.write( "-4 + 4 > \n" ); document.write( "0 > \n" ); document.write( ": \n" ); document.write( "Check solution with a value that is less than -3, say -4 \n" ); document.write( "2(-4) + 4 > \n" ); document.write( "-8 + 4 > \n" ); document.write( "-4 > |