Question

what is the solution set for |x-2|-1 > 2

Answer 1

\(\normalsize\color{darkgreen}{ \rm |x-2|-1 > 2 }\) add 1 to both sides
\(\normalsize\color{darkgreen}{ \rm |x-2|> 3 }\) and then you get,
\(\normalsize\color{darkgreen}{ \rm x-2> 3 }\) or \(\normalsize\color{darkgreen}{ \rm x-2<-3 }\)

Answer 2

can you finish the problem ?

Answer 3

x > 5 , x < 2

Answer 4

?

Answer 5

not sure if its right or not... I'm not the best at math @SolomonZelman

Answer 6

oh sorry not 2

Answer 7

1

Answer 8

-1

Answer 9

you got \(\normalsize\color{darkgreen}{ \rm x>5 }\) right
and the second, as you corrected yourself, \(\normalsize\color{darkgreen}{ \rm x<-1 }\)

Good job !

Answer 10

thank you!!!

Answer 11

So the answer would be
\(\normalsize\color{darkgreen}{ \rm -1>x~~~~~and~~~~~x<5 }\)

Answer 12

yw :)