document.write( "Question 1057768: If -4<-2t+6<10,then 2>t+6>-5 Is this true or false? If false,please correct the 2>t+6>-5 part.\r
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document.write( "Thank you for taking time to help me. \n" );
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Algebra.Com's Answer #672969 by solve_for_x(190)![]() ![]() ![]() You can put this solution on YOUR website! This is false.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Starting with the original compound inequality:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-4 < -2t + 6 < 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 6 from each expression to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-4 - 6 < -2t + 6 - 6 < 10 - 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-10 < -2t < 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dividing through by -2, and reversing the inequality signs, gives:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-10 / -2 > t > 4 / -2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5 > t > -2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Reversing this compound inequality gives:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-2 < t < 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Adding 6 back to eat portion gives:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-2 + 6 < t + 6 < 5 + 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4 < t + 6 < 11, which is not the same as 2 > t + 6 > 5 \n" ); document.write( " |