document.write( "Question 13758: what is the solution set of the inequality
\n" ); document.write( "5-|x+4|<-3? \n" ); document.write( "

Algebra.Com's Answer #6900 by rahman(247) $\"\"$ $\"About$

You can put this solution on YOUR website!
|x+4|= x + 4 ; where $\"x%3E=-4\"$
\n" ); document.write( "|x+4|= -(x + 4); where $\"x%3C-4\"$ \r
\n" ); document.write( "\n" ); document.write( "5-|x+4|<-3\r
\n" ); document.write( "\n" ); document.write( "case (i):
\n" ); document.write( "5-(x+4)<-3; where $\"x%3E=-4\"$
\n" ); document.write( "5-(x+4)<-3
\n" ); document.write( "5-x-4<-3
\n" ); document.write( "-x-4+5<-3
\n" ); document.write( "-x+1<-3
\n" ); document.write( "-x<-3-1
\n" ); document.write( "-x<-4
\n" ); document.write( "x>4
\n" ); document.write( "Solution for this case is x>4\r
\n" ); document.write( "\n" ); document.write( "case (ii):
\n" ); document.write( "5-(-(x+4))<-3; where $\"x%3E=-4\"$
\n" ); document.write( "5+(x+4)<-3
\n" ); document.write( "5+x+4<-3
\n" ); document.write( "x+9<-3
\n" ); document.write( "x<-3-9
\n" ); document.write( "x<-12
\n" ); document.write( "There is no solution for this case.\r
\n" ); document.write( "\n" ); document.write( "So, solution for this inequality is x>4.
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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