Question

What is the solution set of |x + 5| > 1?

Answer 1

Draw a number line and look at points that are more than 1 unit away from -5, because
|x-(-5)| > 1

Answer 2

then the algebra will make more sense.

Answer 3

would it be x > -4 and x <-6

Answer 4

Re(x)>-4

Answer 5

But would it be x > -4 and x <-6

Answer 6

Yes, exactly

Answer 7

Now the algebra.
|x+5| > 1 means either
x + 5 > 1 OR -(x + 5) > 1

Evaluate these expressions and you'll find the same thing.

Answer 8

@shawna: we're not talking about complex number here but even if we were your answer is wrong.