Question

I forget...

Answer 1

When solving absolute value equations, do you negate the absolute value part, or the part on the other side?

Answer 2

Example:
|2x-2| < 6
2x - 2 < 6
-(2x - 2) < 6 OR 2x - 2 < -(6)
...?
@SolomonZelman
(I know this is really basic, but I forgot, lol)

Answer 3

you do this
\[|whatever|<p\\
-p<whatever<p\]`

Answer 4

make a sandwich with the stuff in the absolute values sign in the middle

Answer 5

if it was
\[|2x-2|>6\] then you would do
\[2x-2<-6\]OR\[2x-2>6\]

Answer 6

okay, thank you. :)

Answer 7

How do you know if it is OR, or AND?

Answer 8

@SolomonZelman

Answer 9

\(\large\color{slate}{ |2x-2|>6 }\)
so you would have two cases:

\(\large\color{slate}{ 2x-2>6 }\) and \(\large\color{slate}{ -(2x-2)>6 }\)

\(\large\color{slate}{ 2x>8 }\) \(\large\color{slate}{ -2x+2>6 }\)
\(\large\color{blue}{ x>4 }\) \(\large\color{slate}{ -2x>4 }\)
\(\large\color{blue}{ x>-2 }\)

Answer 10

this is "and"