Im just wondering if some this question is right?
|7 - x| = 9
|x| = 9 - 7
x = 2.
I was wondering if it would be a negitive 2 or a positive. Thanks!
This is not correct. To get rid of the absolute value bars, you need to square both sides of the equation:
$\displaystyle |7 - x| = 9$
$\displaystyle |7 - x|^2 = (7 - x)^2 = 81$
You take it from here. (And make sure to check your solutions back in the original equation.)
-Dan
Think of what $\displaystyle 7-x$ can be if $\displaystyle |7-x|= 9$.
Obviously you can have $\displaystyle |-9|=9$ and $\displaystyle |9|=9$, so we can have:
$\displaystyle 7-x=-9 \Rightarrow x = 16$
or
$\displaystyle 7-x=9 \Rightarrow x = -2$
So the solutions are $\displaystyle x = 16, -2$