document.write( "Question 223780: Solve the inequality:
\n" ); document.write( "-1/3(n+8)+1/3n<_ 1-n \n" ); document.write( "

Algebra.Com's Answer #167476 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Solve the inequality:
\n" ); document.write( "-1/3(n+8)+1/3n<_ 1-n
\n" ); document.write( ":
\n" ); document.write( "Assume the problems is:
\n" ); document.write( " $\"%28-1%2F3%29%28n%2B8%29+%2B+%281%2F3%29n\"$ <= 1 - n
\n" ); document.write( ":
\n" ); document.write( "Multiply by 3 to get rid of the denominators:
\n" ); document.write( "-(n + 8) + n <= 3(1 - n)
\n" ); document.write( ":
\n" ); document.write( "Remove brackets
\n" ); document.write( "-n - 8 + n <= 3 - 3n
\n" ); document.write( "-8 <= 3 - 3n
\n" ); document.write( "Subtract 3 from both sides
\n" ); document.write( "-8 -3 <= -3n
\n" ); document.write( "-11 <= -3n
\n" ); document.write( "Multiply by -1 to get rid of the negatives, this reverses the the inequality sign
\n" ); document.write( "11 >= 3n
\n" ); document.write( "or
\n" ); document.write( "3n <= 11
\n" ); document.write( "divide both sides by 3
\n" ); document.write( "n <= $\"11%2F3\"$ \n" ); document.write( "

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