document.write( "Question 1087095: Solve the inequalities, and represent your answer in interval notation
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document.write( "-6 ≤ -3(2x-4) < 12 \n" );
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Algebra.Com's Answer #701369 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "-6 ≤ -3(2x-4) < 12\r\n" ); document.write( "\r\n" ); document.write( "Distribute to remove the parentheses:\r\n" ); document.write( "\r\n" ); document.write( "-6 ≤ -6x+12 < 12\r\n" ); document.write( "\r\n" ); document.write( "Subtract 12 from all three sides:\r\n" ); document.write( "\r\n" ); document.write( "-18 ≤ -6x < 0\r\n" ); document.write( "\r\n" ); document.write( "Divide all three sides by -6, which causes\r\n" ); document.write( "the inequality symbols to reverse:\r\n" ); document.write( "\r\n" ); document.write( "3 ≥ x > 0\r\n" ); document.write( "\r\n" ); document.write( "That is the same as\r\n" ); document.write( "\r\n" ); document.write( "0 < x ≤ 3\r\n" ); document.write( "\r\n" ); document.write( "The equivalent interval notation is:\r\n" ); document.write( "\r\n" ); document.write( "(0,-3]\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |