document.write( "Question 63072: Q#1 3<-5-2x<9\r
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document.write( "Q#2 15<3x-3<24\r
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document.write( "Q#3 16<4-3x<25 \n" );
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Algebra.Com's Answer #43889 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Q#1 \r\n" ); document.write( "\r\n" ); document.write( " 3 < -5 - 2x < 9\r\n" ); document.write( "\r\n" ); document.write( "Add +5 to all three sides:\r\n" ); document.write( "\r\n" ); document.write( " 3 < -5 - 2x < 9\r\n" ); document.write( " +5 +5 +5\r\n" ); document.write( " --------------------\r\n" ); document.write( " 8 < -2x < 14 \r\n" ); document.write( "\r\n" ); document.write( "Divide all three sides by -2, which reverses both\r\n" ); document.write( "inequalities since we are dividing by a negative\r\n" ); document.write( "number \r\n" ); document.write( "\r\n" ); document.write( " 8 -2x 14\r\n" ); document.write( " ---- > ----- > ----\r\n" ); document.write( " -2 -2 -2\r\n" ); document.write( "\r\n" ); document.write( " or -4 > x > -7\r\n" ); document.write( "\r\n" ); document.write( "If you like you can write that in \"mirror fashion\" as\r\n" ); document.write( "\r\n" ); document.write( " -7 < x < -4\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Q#2 15<3x-3<24\r\n" ); document.write( "\r\n" ); document.write( " 15 < 3x - 3 < 24\r\n" ); document.write( "\r\n" ); document.write( "Add +3 to all three sides:\r\n" ); document.write( "\r\n" ); document.write( " 15 < 3x - 3 < 24\r\n" ); document.write( " +3 +3 +3\r\n" ); document.write( " --------------------\r\n" ); document.write( " 18 < 3x < 27 \r\n" ); document.write( "\r\n" ); document.write( "Divide all three sides by 3, which DOES NOT reverse the\r\n" ); document.write( "inequalities since we are dividing by a positive\r\n" ); document.write( "number \r\n" ); document.write( "\r\n" ); document.write( " 18 3x 27\r\n" ); document.write( " ---- < ---- < ----\r\n" ); document.write( " 3 3 3\r\n" ); document.write( "\r\n" ); document.write( " or 6 < x < 9\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |