# Answer on Real Analysis Question for sachin sharma

Question #4424

find all x belongs to R that satisfy the eqaction |x+1|+|x-2|=7

Expert's answer

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

so we have two

solutions x=-3, x=4

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

so we have two

solutions x=-3, x=4

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## Comments

Assignment Expert07.08.2013 10:18You're welcome. We are glad to be helpful.

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Dhiraj06.08.2013 08:31Thank u so much

Assignment Expert14.10.2011 12:03You are welcome. We were pleased to help you

sachin07.10.2011 04:09thank you very much

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