document.write( "Question 203188: How many points in the first quadrant satisfy both of the
\n" );
document.write( "following conditions: (i) the x and y coordinates are positive
\n" );
document.write( "integers and (ii) x + y ≤ 5? \n" );
document.write( "
Algebra.Com's Answer #153301 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Since \"x\" and \"y\" are both positive integers (ie positive whole numbers 1, 2, 3, 4, etc...) just ask yourself: \"what two numbers add to another number that is either less than or equal to 5?\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So for instance, 2+2=4 which is less than or equal to 5. Also, 1+2=3 which is also less than or equal to 5. Furthermore, 2+3=5 which is less than or equal to 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "These values can be thought of as the ordered pairs (2,2), (1,2), and (2,3)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here are all of the possible ordered pairs\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(0, 0), \n" ); document.write( "(0, 1), \n" ); document.write( "(0, 2), \n" ); document.write( "(0, 3), \n" ); document.write( "(0, 4), \n" ); document.write( "(0, 5), \n" ); document.write( "(1, 0), \n" ); document.write( "(1, 1), \n" ); document.write( "(1, 2), \n" ); document.write( "(1, 3), \n" ); document.write( "(1, 4), \n" ); document.write( "(2, 0), \n" ); document.write( "(2, 1), \n" ); document.write( "(2, 2), \n" ); document.write( "(2, 3), \n" ); document.write( "(3, 0), \n" ); document.write( "(3, 1), \n" ); document.write( "(3, 2), \n" ); document.write( "(4, 0), \n" ); document.write( "(4, 1), \n" ); document.write( "(5, 0)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So for example, the ordered pair (1,4) means that 1+4=5 which is less than or equal to 5. \n" ); document.write( " |