document.write( "Question 472983: Name a point(x,y)where it is true that x-y>6 and x>4
\n" );
document.write( "what steps do I need to take to find the region of points where x-y>6 and x>4? \n" );
document.write( "
Algebra.Com's Answer #324311 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Since x > 4, the value of x must be more than 4. \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now solve for y in x-y > 6 to get \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x-y > 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x > 6+y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x-6 > y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y < x-6\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So pick a number greater than 4 (say 10). Plug it into y < x-6 to get\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y < x-6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y < 10-6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y < 4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So when x = 10, then y < 4. So all we need to do is pick a y value that is less than 4. So I'm going to pick y = 1.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So one point that lies in this region is (10,1) \n" ); document.write( " |