document.write( "Question 238164: i need help with understanding how to solve inequalities and graph its solutions example -3>-3+k i dont want just the answer i want to know how you came up with the answer \n" ); document.write( "
Algebra.Com's Answer #175041 by Theo(13342)![]() ![]() You can put this solution on YOUR website! your equation is -3 > -3+k\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you solve inequality equations the same way you solve equality equations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the only difference is that when you multiply both sides of the equation by a negative number, then the inequality reverses.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "example:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5 > 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of this equation by -1 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-5 < -3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the inequality reversed as can easily be seen.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5 is definitely greater than 3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-5 is definitely smaller than -3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-3 > -3 + k\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 3 to both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 > k\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is the same as k < 0 as I will now show.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 > k\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract k from both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-k > 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of this equation by -1 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k < 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's how it's done.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |