document.write( "Question 160852: I would try to answer the problem but I really don't know where to begin. Can you please help me with the following problem?\r
\n" ); document.write( "\n" ); document.write( "Graph the solution set of 3x-4y>8. \r
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\n" ); document.write( "\n" ); document.write( "Thank You for your help! \n" ); document.write( "
Algebra.Com's Answer #118573 by gonzo(654)\"\" \"About 
You can put this solution on YOUR website!
to graph the equation, you need to put it into the form of y < f(x).
\n" ); document.write( "in order to do that you want to get the y on the left side of the equation and you want to get the x and everything else on the right side of the equation.
\n" ); document.write( "your equation starts as 3*x - 4*y > 8
\n" ); document.write( "subtract 3*x from both sides of the equation to get
\n" ); document.write( "-4*y > 8 - 3*x
\n" ); document.write( "divide both sides of the equation by 4*y to get
\n" ); document.write( "-y > (8 - 3*x)/4
\n" ); document.write( "if you want to make y positive, you need to multiply both sides of the equation by (-1).
\n" ); document.write( "if you do that, the inequality reverses, and you get
\n" ); document.write( "y < (-1) * (8-3*x)/4 which becomes
\n" ); document.write( "y < (-8+3*x)/4 which becomes
\n" ); document.write( "y < (3*x-8)/4
\n" ); document.write( "to graph this equation, you need to graph the equality.
\n" ); document.write( "you take y = (3*x-8)/4 and graphs it.
\n" ); document.write( "it looks like this
\n" ); document.write( "scan below the graph for further comments
\n" ); document.write( "\"graph%28800%2C800%2C-10%2C10%2C-10%2C10%2C%283%2Ax-8%29%2F4%29\"
\n" ); document.write( "since that graph is y = (3*x-8)/4, if you want y < (3*x-8)/4, then you want every value of y that is less than the value of y shown on that line.
\n" ); document.write( "this becomes the area under the line in the graph created by the equation of y = (3*x-8)/4.
\n" ); document.write( "on your graph (i can't do it here), you would shade the area under the graph and that would be your solution.
\n" ); document.write( "to test, you would take any value of x.
\n" ); document.write( "let's say x = 8.
\n" ); document.write( "solve the equation for y = (3*x-8)/4 when x = 8
\n" ); document.write( "the equation becomes y = (3*8 - 8)/4 = 2*8 / 4 = 8/2 = 4
\n" ); document.write( "so when x = 8, y = 4
\n" ); document.write( "any value of y < 4 will satisfy the equation y < (3*8-8)/4.
\n" ); document.write( "all those values of y will be in the area under the line.
\n" ); document.write( "this holds true for all values of x.
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