document.write( "Question 174581: I been working on these problems with my daugther but not very good. Question one. Graph the inequality on a plane 8x-7 less than 15x+y. Second problem Graph the system of inequalities. y greater than-3 x greater than 4. Third problem Graph the system of inequalities. x+3y less than 9, 3x+y less than 9, x greater than 0, y greater than 0. \n" ); document.write( "

Algebra.Com's Answer #129593 by Edwin McCravy(20063) $\"\"$ $\"About$

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I been working on these problems with my daugther but not very good. Question one. Graph the inequality on a plane 8x-7 less than 15x+y.
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document.write( "First draw the graph of the boundary line, which has\r\n" );
document.write( "the equation formed by replacing the inequality\r\n" );
document.write( "symbol <  by =. So first graph  by \r\n" );
document.write( "finding two points.  \r\n" );
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document.write( "let, say, x=0, substitute in  \r\n" );
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document.write( "So one point on that line is \r\n" );
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document.write( "Now let, say, y=0, substitute in  \r\n" );
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document.write( "So another point on that line is \r\n" );
document.write( "So we plot those two points, and draw a dotted line through\r\n" );
document.write( "them:\r\n" );
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document.write( "Now we have to shade one side of that line.  So we choose\r\n" );
document.write( "any point that is NOT on that line to see if it is or is not\r\n" );
document.write( "a solution to the original inequality \r\n" );
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document.write( "Let's arbitrarily pick a test point, say (3,2), and substitute\r\n" );
document.write( "x=3 and y=2 in \r\n" );
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document.write( "Since that is true, we have chosen\r\n" );
document.write( "a point on the side of the line where\r\n" );
document.write( "ALL the solutions lie, so all the solutions\r\n" );
document.write( "to the inequality lie on the same side of\r\n" );
document.write( "the line as (3,2). So we shade that side of\r\n" );
document.write( "the line.  I can't shade on here, but you\r\n" );
document.write( "can on your paper:\r\n" );
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document.write( "Second problem  Graph the system of inequalities. \r\n" );
document.write( "system. \r\n" );
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document.write( "Draw the graph of  which is a dotted horizontal line.\r\n" );
document.write( "Draw the graph of  which is a dotted vertical line.\r\n" );
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document.write( "Since the inequality is , its solution is ABOVE\r\n" );
document.write( "this horizontal line.\r\n" );
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document.write( "Since the first inequality is , its solution is TO\r\n" );
document.write( "THE RIGHT OF this horizontal line.\r\n" );
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document.write( "So only shade the area which is ABOVE the horizontal line\r\n" );
document.write( "and TO THE RIGHT OF the vertical line.\r\n" );
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\n" ); document.write( "Third problem Graph the system of inequalities. x+3y less than 9, 3x+y less than 9, x greater than 0, y greater than 0.
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document.write( "The last two inequalities are the areas above the x-axis\r\n" );
document.write( "and to the right of the y-axis. Their boundaries are the\r\n" );
document.write( "axes themselves.  You'll shade the the part that is below\r\n" );
document.write( "each of the dotted lines and to the right of the axes:\r\n" );
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document.write( "Edwin

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