document.write( "Question 454979: can you help solve this equation.-2x + 4 > 12 \n" ); document.write( "
Algebra.Com's Answer #312368 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "-2x + 4 > 12\r\n" ); document.write( "\r\n" ); document.write( "Subtract 4 from both sides:\r\n" ); document.write( "\r\n" ); document.write( "-2x + 4 > 12\r\n" ); document.write( " - 4 -4\r\n" ); document.write( "————————————\r\n" ); document.write( "-2x > 8\r\n" ); document.write( "\r\n" ); document.write( "So we have \r\n" ); document.write( "\r\n" ); document.write( " -2x > 8\r\n" ); document.write( "\r\n" ); document.write( "Now we divide both sides by -2,\r\n" ); document.write( "but we now remember the main difference\r\n" ); document.write( "between solving an INEQUALITY and solving\r\n" ); document.write( "an EQUATION. When we solve an INEQUALITY\r\n" ); document.write( "if we divide (or multiply) by a negative\r\n" ); document.write( "number we always must reverse the direction\r\n" ); document.write( "of the inequality symbol. So when we divide \r\n" ); document.write( "both sides by -2, we reverse the inequality \r\n" ); document.write( "symbol from > to <\r\n" ); document.write( ":\r\n" ); document.write( "\r\n" ); document.write( " -2x > 8\r\n" ); document.write( "\r\n" ); document.write( " -2x 8\r\n" ); document.write( " ————— < ——— \r\n" ); document.write( " -2 -2\r\n" ); document.write( "\r\n" ); document.write( " x < -4\r\n" ); document.write( "\r\n" ); document.write( "That has this graph:\r\n" ); document.write( "\r\n" ); document.write( "<================o----------------------------\r\n" ); document.write( "-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3\r\n" ); document.write( "\r\n" ); document.write( "and the interval notation for that is\r\n" ); document.write( "\r\n" ); document.write( " (-∞,-4) \r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |