document.write( "Question 1130163: Write an inequality and solve each problem:\r
\n" ); document.write( "\n" ); document.write( "Four more than a number is no more than thirteen.\r
\n" ); document.write( "\n" ); document.write( "The difference of a number and -6 is less than 9.\r
\n" ); document.write( "\n" ); document.write( "Eleven less than a number is more than seventeen. \n" ); document.write( "

Algebra.Com's Answer #746833 by Alan3354(69443) $\"\"$ $\"About$

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The difference of a number and -6 is less than 9.
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\n" ); document.write( "The difference of a & b can be a-b or b-a
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\n" ); document.write( "n = \"a number\"
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\n" ); document.write( "The difference of n and -6 can be n - (-6) = n+6, or -6-n
\n" ); document.write( "Using absolute values covers both.
\n" ); document.write( "|n+6| < 9
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\n" ); document.write( "n+6 < 9
\n" ); document.write( "n < 3
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\n" ); document.write( "-n-6 < 9
\n" ); document.write( "Add n-6
\n" ); document.write( "0 < n+15
\n" ); document.write( "Subtract 15
\n" ); document.write( "-15 < n
\n" ); document.write( "----
\n" ); document.write( "-15 < n < 3\r
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