document.write( "Question 974807: Help!!!!!!!!
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document.write( "(4 - x ≤ -1) ∩ (2 + 3x ≥ 17). \n" );
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Algebra.Com's Answer #596619 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "(4 - x ≤ -1) ∩ (2 + 3x ≥ 17).\r\n" ); document.write( "\r\n" ); document.write( "(-x ≤ -5) ∩ (3x ≥ 15).\r\n" ); document.write( "\r\n" ); document.write( "The inequality reverses in the left part since we are dividing \r\n" ); document.write( "through by a negative number -1.\r\n" ); document.write( "\r\n" ); document.write( "(x ≥ 5) ∩ (x ≥ 5).\r\n" ); document.write( "\r\n" ); document.write( "Draw each part on a number line\r\n" ); document.write( "\r\n" ); document.write( "-------------------------------@===========> That's x ≥ 5\r\n" ); document.write( "-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "-------------------------------@===========> That's x ≥ 5 \r\n" ); document.write( "-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9\r\n" ); document.write( "\r\n" ); document.write( "Intersection ∩ means to use ONLY the part where the two\r\n" ); document.write( "graphs overlap, that is, the part of the number line where\r\n" ); document.write( "BOTH are true and darkened or shaded ===. @ means a darkened circle.\r\n" ); document.write( "\r\n" ); document.write( "But they (overlap) intersect EVERYWHERE!!!\r\n" ); document.write( "\r\n" ); document.write( "-------------------------------@===========>\r\n" ); document.write( "-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9\r\n" ); document.write( "\r\n" ); document.write( "So that is x ≥ 5, which in scientific notation is [5,oo)\r\n" ); document.write( "where oo indicates \"infinity\".\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |