Question

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

Answer 1

x+5 > 1 or -x-5 > 1
x > -4 or x < -6

Answer 2

how did you get -x-5?

Answer 3

| x+ 5 | > 1
x+5 > 1 or x+5 < -1

x+5 < -1 ---->> -x-5 > 1

Answer 4

Recall the definition of |x|,

|x|=x when x > 0
=-x when x <0

So here,|x+5| means either |x+5| is positive or |x+5| is negative so when positve \[(x+5) > 1 \Rightarrow x > -4 \]

and when negative:

\[-x-5 > 1 \Rightarrow x+5 < -1 \Rightarrow x < -6\]

Answer 5

Oh ok, I thought you would just take the |x+5| and make it like and then x + 5 > 1-5
x > -4 and thats it?