document.write( "Question 1169706: Can you help me solve this inequality and graph the solution?\r
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document.write( "2k - 6 > 3k + 2 \n" );
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Algebra.Com's Answer #794510 by ikleyn(52814)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "This inequality is for one single unknown \"k\", so its solution is some set of real numbers in number line.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "First, subtract 2k from both sides. You will get an equivalent inequality\r\n" ); document.write( "\r\n" ); document.write( " 2k - 2k - 6 > 3k - 2k + 2\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Combine like terms. You will get\r\n" ); document.write( "\r\n" ); document.write( " -6 > k + 2.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Next, subtract 2 from both sides. You will get an equivalent inequality\r\n" ); document.write( "\r\n" ); document.write( " -6 - 2 > k + 2 - 2.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Combine like terms. You will get\r\n" ); document.write( "\r\n" ); document.write( " -8 > k.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is the same as\r\n" ); document.write( "\r\n" ); document.write( " k < -8.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "At this point, the solution is completed.\r\n" ); document.write( "\r\n" ); document.write( "The answer is k < -8.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is the set of all real numbers that are less than -8.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "These numbers (the solution set) are located at the number line on the left from the point k= -8.\r\n" ); document.write( "\r\n" ); document.write( "The point k= -8 itself IS NOT INCLUDED to the solution set.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Graphically, the solution set is shown below\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " { k < -8 }\r\n" ); document.write( " ===================)------------------------------------\r\n" ); document.write( "\r\n" ); document.write( " -8\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Or, in the interval notation, the solution set is (-oo,-8).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The symbol -oo represents \"minus infinity\".\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "The solution is completed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Is everything clear to you in it ?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you have question, do not hesitate to post them to me.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To continue your education on this subject, see the lesson\r \n" ); document.write( "\n" ); document.write( " - Solving simple and simplest linear inequalities \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |