document.write( "Question 837144: I am making a poster for my algebra class. Here is the problem I have to solve and graph on a number line\r
\n" ); document.write( "\n" ); document.write( "7k - 1 + 2k < 26 and 2/3k + 8 > 12
\n" ); document.write( " -
\n" ); document.write( " (a dash belongs under the < between 2k& 26)\r
\n" ); document.write( "\n" ); document.write( "the poster should include the complete solution to the problem as well as a step-by-step explanation.\r
\n" ); document.write( "\n" ); document.write( "I AM STRUGGLING to do the problem and now the teacher wants me to explain it PLEASE!!! help me. My grade depends on it
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #504499 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve each part just like an equation:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The first part  is graphed like this:\r\n" );
document.write( "\r\n" );
document.write( "<==================]---------------------\r\n" );
document.write( "-3 -2 -1  0  1  2  3  4  5  6  7  8  9 10\r\n" );
document.write( "\r\n" );
document.write( "The second part  is graphed like this\r\n" );
document.write( "\r\n" );
document.write( "----------------------------(============>\r\n" );
document.write( "-3 -2 -1  0  1  2  3  4  5  6  7  8  9 10\r\n" );
document.write( "\r\n" );
document.write( "These graphs have no points in common, so there is no solution.\r\n" );
document.write( "So the solution set is empty or ⌀.  That's because it doesn't \r\n" );
document.write( "make any sense to say that a value of x can be less than or \r\n" );
document.write( "equal to 3 AND greater than 6.  For if it's less than 3 it\r\n" );
document.write( "CANNOT be greater than 6.  \r\n" );
document.write( "\r\n" );
document.write( "****************************************************************\r\n" );
document.write( "****************************************************************\r\n" );
document.write( "NOTE:\r\n" );
document.write( "\r\n" );
document.write( "If you had been given the same inequalities with the word \"OR\" \r\n" );
document.write( "between them instead of the word \"AND\", then there would have been\r\n" );
document.write( "a solution, because the word \"OR\" does not require any common\r\n" );
document.write( "points.  The solution would have been:\r\n" );
document.write( "\r\n" );
document.write( "<==================]--------(============>\r\n" );
document.write( "-3 -2 -1  0  1  2  3  4  5  6  7  8  9 10\r\n" );
document.write( "\r\n" );
document.write( "However it would make sense to say a value of x can be less than \r\n" );
document.write( "or equal 3 OR greater than 6.  But with the word \"AND\" between them \r\n" );
document.write( "the solution set is empty, because it doesn't make sense to say that \r\n" );
document.write( "a value of x can be less or equal to 3 AND also greater than 6.  \r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "

\n" );