document.write( "Question 134286: Solve then graph 7x_>28
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Algebra.Com's Answer #98202 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"7x%3E=28\" Start with the given inequality\r
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\n" ); document.write( "\n" ); document.write( "\"x%3E=%2828%29%2F%287%29\" Divide both sides by 7 to isolate x \r
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\n" ); document.write( "\n" ); document.write( "\"x%3E=4\" Divide\r
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\n" ); document.write( "\n" ); document.write( "So our answer is \"x%3E=4\" \r
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\n" ); document.write( "\n" ); document.write( "Now let's graph the solution set\r
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\n" ); document.write( "\n" ); document.write( "Start with the given inequality:\r
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\n" ); document.write( "\n" ); document.write( "\"x%3E=4\"\r
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\n" ); document.write( "\n" ); document.write( "Set up a number line:\r
\n" ); document.write( "\n" ); document.write( "\"number_line%28500%2C-6%2C14%29\" \r
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\n" ); document.write( "\n" ); document.write( "Now plot the point \"x=4\" on the number line\r
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\n" ); document.write( "\n" ); document.write( "\"number_line%28500%2C-6%2C14%2C+4%29\"\r
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\n" ); document.write( "\n" ); document.write( "Now pick any test point you want, I'm going to choose x=0, and test the inequality \"x%3E=4\"\r
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\n" ); document.write( "\n" ); document.write( "\"0%3E=4\" Plug in \"x=0\"\r
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\n" ); document.write( "\n" ); document.write( "Since this inequality is not true, we simply shade the entire portion that does not contain the point x=0 using the point \"x=4\" as the boundary. This means we shade everything to the right of the point \"x=4\" like this:\r
\n" ); document.write( "\n" ); document.write( " Graph of \"x%3E=4\" with the shaded region in blue\r
\n" ); document.write( "\n" ); document.write( "note: at the point \"x=4\", there is an closed circle. This means the point \"x=4\" is included from the solution set.\r
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