Question

Solve |2x-2|<8
i got {x|x<-3 or x>5} is that right?

Answer 1

no this one has one interval

Answer 2

this is how you can tell: if you have
\[|blah|>p\] TWO intervals if you have
\[|blah|<p\] you have ONE interval

Answer 3

so if you see
\[|2x+2|<8\] you solve
\[-8<2x-2<8\]

Answer 4

whereas if you have
\[|2x-2|>8\] you need to solve
\[2x-2<-8\] or
\[2x-2>8\]

Answer 5

{x|-5<x<3}

Answer 6

?

Answer 7

it all depends on the direction of the inequality. that is how you can tell. but don't forget that if you know one, then you know the other.


\[|2x-2|<8\]
\[-8<2x-2<8\]
\[-6<2x<10\]
\[-3<x<5\]

Answer 8

steps were
a) add 2 all the way across
b) divide by 2 all the way across

Answer 9

i think you subtracted 2 when you should have added 2 yes?