document.write( "Question 1087762: Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line.\r
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document.write( "-7<3x+5<11 \n" );
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Algebra.Com's Answer #702058 by ikleyn(52799)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line.\r \n" ); document.write( "\n" ); document.write( "-7<3x+5<11 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "-7 < 3x + 5 < 11.\r\n" ); document.write( "\r\n" ); document.write( "Subtract 5 from each compound of the inequality. You will get an equivalent compound inequality\r\n" ); document.write( "\r\n" ); document.write( "-7 - 5 < (3x + 5) -5 < 11 - 5, or, which is the same\r\n" ); document.write( "\r\n" ); document.write( " - 12 < 3x < 6.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now divide each compound of the inequality by positive 3. You will get \r\n" ); document.write( "\r\n" ); document.write( " -4 < x < 2.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is your solution.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Answer. The solution to the original compound inequality is -4 < x < 2.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |