document.write( "Question 361651: How do you know how to graph and solve absolute value equations such as;|x + 5| = 4;|x + 2| > 7;|x + 1| = 2.
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Algebra.Com's Answer #261471 by algebrastudent611(8) $\"\"$ $\"About$

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Well, in order to graph absolute value you typically need 2 points to graph, you would do this by using a COMPOUND SENTENCE. For the first one:\r
\n" ); document.write( "\n" ); document.write( "x + 5 = 4 OR x + 5 = -4\r
\n" ); document.write( "\n" ); document.write( "next solve these.\r
\n" ); document.write( "\n" ); document.write( "x= -1 OR x= -9\r
\n" ); document.write( "\n" ); document.write( "Check these numbers.\r
\n" ); document.write( "\n" ); document.write( "-1 + 5= 4...correct\r
\n" ); document.write( "\n" ); document.write( "-9 + 5 = -4...correct\r
\n" ); document.write( "\n" ); document.write( "To graph this absolute value is very simple because you have an equal sign and are using the word OR (as in only 2 possible answers)\r
\n" ); document.write( "\n" ); document.write( "create a number line, 0 being the middle. plot -1 and -9 with CLOSED circles. Now, the reason you have closed circles is because you are using the word or and there are only 2 possible answers to complete the compound sentence, as in it is this OR that. \r
\n" ); document.write( "\n" ); document.write( "Therefore, to graph this you should have a number line with -1 and -9 plotted with closed circles and no shading because there is no range of numbers, only 2 answers which we plotted. \n" ); document.write( "

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