Question

Find the solution set for the equation: (See below)

Answer 1

\[|x+7|=10\]

Answer 2

With that absolute value you can re-write it as
\[x+7 = 10\]or\[x+7 = -10\]

Answer 3

Right and I have \[x=3\] or \[x=-3\]

Answer 4

But it wants it in solution set form. {...}

Answer 5

So would it be {-3,3}

Answer 6

that is not the right solution

Answer 7

\[x+7=10\iff x=3\] is right, but
\[x+7=-10\iff x=-17\]

Answer 8

if you want a "solution set" you can write \(\{-17,3\}\)

Answer 9

So you don't make all the components a negative? For example \[x-7=-10\]?

Answer 10

nope
you deal with whatever you are given

Answer 11

\[|\text{whatever}|=p\]
\[\text{whatever}=p\] or \[\text{whatever} =-p\]

Answer 12

Okay got it now. Thanks! I just got confused with the changing the negative in the one problem.