find all x belongs to R that satisfy the eqaction |x+1|+|x-2|=7
1
Expert's answer
2011-10-06T13:12:54-0400
there three cases first if x<-1 then we can rewrite equation -x-1-x+2=7 so -2x=6& we have x=-3 and it is <-1 so it is solution. second -1=<x<=2 then we rewrite equation x+1+2-x=7 3=7 so there is no solution in this case third x>2 so x+1+x-2=7 2x-1=7& 2x=8 x=4>2
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