document.write( "Question 1151645: For the following compound inequality, give the solution set in both interval and graph forms.\r
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Algebra.Com's Answer #773474 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "The given system of inequalities is\r\n" );
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document.write( "    x >= -5  or  x >= 6.\r\n" );
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document.write( "Notice that the two inequalities are connected by the service word \" or \".\r\n" );
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document.write( "It means that the solution to the system is THE UNION of the solutions to each partial inequality.\r\n" );
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document.write( "The solution for the inequality x >= -5  is the set  [-5,oo).\r\n" );
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document.write( "The solution for the inequality x >= 6 is the set [6,oo).\r\n" );
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document.write( "The UNION of these sets is the interval  [-5,oo), i.e. the set of all real number greater or equal to -5.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "My answer is the same as in the post by @MathLover1.\r
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\n" ); document.write( "\n" ); document.write( "But she made 2 fatal errors in her post.\r
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\n" ); document.write( "\n" ); document.write( "First, she write that the solution is the intersection of two partial subsets --- IT IS WRONG.\r
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\n" ); document.write( "\n" ); document.write( "Second, instead of taking intersection, in her post she takes the union.\r
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\n" ); document.write( "\n" ); document.write( "So, after making two fatal errors, she came to the correct answer.\r
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\n" ); document.write( "\n" ); document.write( "It is why I came to warn you and to bring the correct solution.\r
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\n" ); document.write( "\n" ); document.write( "On solving systems of inequalities and compound inequalities, see the lessons\r
\n" ); document.write( "\n" ); document.write( " - Solving systems of linear inequalities in one unknown \r
\n" ); document.write( "\n" ); document.write( " - Solving compound inequalities \r
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