document.write( "Question 237636: Solve the Inequality -x/7 + 4 > 3x \n" ); document.write( "
Algebra.Com's Answer #174757 by checkley77(12844)\"\" \"About 
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-x/7 + 4 > 3x
\n" ); document.write( "-x/7-3x>-4
\n" ); document.write( "(-x-3x*7)/7>-4
\n" ); document.write( "(-x-21x)/7>-4
\n" ); document.write( "-22x>-28
\n" ); document.write( "x<-28/-22 [Note: the > sign changes from > to < when dividing by a negative value.
\n" ); document.write( "x<14/11 ans.
\n" ); document.write( "Proof:
\n" ); document.write( "Let x=13/11
\n" ); document.write( "-13/11*1/7+4>3*13/11
\n" ); document.write( "-13/77+4>39/11
\n" ); document.write( "-.1688+4>3.545
\n" ); document.write( "3.8312>3.545
\n" ); document.write( " \n" ); document.write( "
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