document.write( "Question 146774: Graph the system of equalities.
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document.write( "y is greater than or equal to -3
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document.write( "x is less tha or equal to 5. \n" );
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Algebra.Com's Answer #107188 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Jump to Inequality #1 \n" ); document.write( "Jump to Inequality #2 \n" ); document.write( "Jump to Solution\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Inequality #1 \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jump to Top of the Page\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So in order to plot \n" ); document.write( "(note: if you need help with graphing, check out this solver)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now plug in a test point (0,1) into the inequality \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In other words, we simply shade the entire region that is above the line.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( "----------------------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now move onto the next inequality\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Inequality #2 \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jump to Top of the Page\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So in order to graph \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the inequality sign is \"<=\", this tells us to shade to the left.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " -------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Now draw all of the inequalities on the same coordinate system.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The solution region will be the intersecting region of the inequalities.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ---------------------------- Solution --------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Jump to Top of the Page\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " So the solution looks like:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |