document.write( "Question 24076: Hi my name is Lindsey and i was wondering if u could explain to me how to graph linear inequalities in two variables? thank you so much!! \n" ); document.write( "

Algebra.Com's Answer #12777 by elima(1433) $\"\"$ $\"About$

You can put this solution on YOUR website!
To graph a linear inequality in two variables (say, x and y), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equals sign. The graph of this equation is a line.\r
\n" ); document.write( "\n" ); document.write( "If the inequality is strict (< or >), graph a dashed line. If the inequality is not strict ( or ), graph a solid line.
\n" ); document.write( "Example:\r
\n" ); document.write( "\n" ); document.write( "Graph the inequality $\"y%3C=4x+-+2\"$ .
\n" ); document.write( " $\"graph+%28400%2C+400%2C+-6%2C6%2C+-6%2C+6%2C++y=4x-2%29\"$
\n" ); document.write( "Now, substitute x = 0, y = 0 to decide whether (0, 0) satisfies the inequality\r
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\n" ); document.write( "\n" ); document.write( "This is false. So, shade the half-plane which does not include the point (0, 0). \r
\n" ); document.write( "\n" ); document.write( "Hope this helps
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