document.write( "Question 1169706: Can you help me solve this inequality and graph the solution?\r
\n" ); document.write( "\n" ); document.write( "2k - 6 > 3k + 2
\n" ); document.write( "

Algebra.Com's Answer #794510 by ikleyn(52814)\"\" \"About 
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( "
\n" );