document.write( "Question 156360This question is from textbook Algebra structure and method book 1
\n" ); document.write( ": can you please help me graph: (((x+y<1))) \n" ); document.write( "
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x + y < 1\r
\n" ); document.write( "\n" ); document.write( "becomes y < 1 - x when you subtract x from both sides of the equation.\r
\n" ); document.write( "\n" ); document.write( "to find the demarc line change the equation to y = 1 - x and plot the graph.\r
\n" ); document.write( "\n" ); document.write( "some graph plots .................\r
\n" ); document.write( "\n" ); document.write( "x y\r
\n" ); document.write( "\n" ); document.write( "-10 +11
\n" ); document.write( "-5 +6
\n" ); document.write( "-1 +2
\n" ); document.write( " 0 +1
\n" ); document.write( "+1 0
\n" ); document.write( "+5 -4
\n" ); document.write( "+10 -9
\n" ); document.write( "+12 -11\r
\n" ); document.write( "\n" ); document.write( "y is a line with a negative slope.
\n" ); document.write( "as x gets larger y gets smaller.\r
\n" ); document.write( "\n" ); document.write( "to solve the equation now look for y < 1 - x\r
\n" ); document.write( "\n" ); document.write( "for y to be smaller it has to be below the line so you would shade the area below the line that is created to get the answer.\r
\n" ); document.write( "\n" ); document.write( "for example, when x is +10 y would be less than -9 to satisfy the equation of y < 1 - x.\r
\n" ); document.write( "\n" ); document.write( "going back to the original equation of x + y < 1.\r
\n" ); document.write( "\n" ); document.write( "let x be 10 and y be -10 (smaller than -9).\r
\n" ); document.write( "\n" ); document.write( "then 10 + (-10) = 10 - 10 = 0 which is < 1.\r
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