document.write( "Question 146774: Graph the system of equalities.
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Algebra.Com's Answer #107188 by jim_thompson5910(35256)\"\" \"About 
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Jump to Inequality #1
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\n" ); document.write( "\n" ); document.write( "Inequality #1 \r
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\n" ); document.write( "\n" ); document.write( "\"y%3E=-3\" Start with the 1st inequality.\r
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\n" ); document.write( "\n" ); document.write( "\"y=-3\" Replace the inequality sign with an equals sign.\r
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\n" ); document.write( "\n" ); document.write( "So in order to plot \"y%3E=-3\", we need to plot the equation \"y=-3\" first.
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\n" ); document.write( "\n" ); document.write( "\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-3%29+\" Graph of \"y=-3\"\r
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\n" ); document.write( "\n" ); document.write( "Now plug in a test point (0,1) into the inequality \"y%3E=-3\"\r
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\n" ); document.write( "\n" ); document.write( "\"y%3E=-3\" Start with the given inequality.\r
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\n" ); document.write( "\n" ); document.write( "\"1%3E=-3\" Plug in \"x=0\" and \"y=1\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%3E=-3\" Evaluate and simplify.\r
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\n" ); document.write( "\n" ); document.write( "Since the inequality is true, this means that we shade the entire region that contains the point (0,1)\r
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\n" ); document.write( "\n" ); document.write( "In other words, we simply shade the entire region that is above the line.\r
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\n" ); document.write( "\n" ); document.write( " Graph of \"y%3E=-3\" with the shaded region in green\r
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\n" ); document.write( "\n" ); document.write( "Now move onto the next inequality\r
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\n" ); document.write( "\n" ); document.write( "Inequality #2 \r
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\n" ); document.write( "\n" ); document.write( "\"x%3C=5\" Start with the 2nd inequality.\r
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\n" ); document.write( "\n" ); document.write( "\"x=5\" Replace the inequality sign with an equals sign.\r
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\n" ); document.write( "\n" ); document.write( "So in order to graph \"x%3C=5\", we need to graph \"x=5\" first. So simply draw a vertical line through \"x=5\".\r
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\n" ); document.write( "\n" ); document.write( "\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C1000%28x-5%29%29+\" Graph of \"x=5\"\r
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\n" ); document.write( "\n" ); document.write( "Since the inequality sign is \"<=\", this tells us to shade to the left.\r
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\n" ); document.write( "\n" ); document.write( " Graph of \"x%3C=5\" with the shaded region in green\r
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\n" ); document.write( "\n" ); document.write( " Now draw all of the inequalities on the same coordinate system.\r
\n" ); document.write( "\n" ); document.write( " Graph of the 2 inequalities and their shaded regions.\r
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\n" ); document.write( "\n" ); document.write( " The solution region will be the intersecting region of the inequalities.\r
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\n" ); document.write( "\n" ); document.write( " ---------------------------- Solution --------------------------\r
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\n" ); document.write( "\n" ); document.write( " So the solution looks like:\r
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\n" ); document.write( "\n" ); document.write( " Graph of the 2 lines and the final solution region represented by a series of dots.
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