Question

What are the solutions of |x + 6| ≥ 5? Write the solutions as either the union or the intersection of two sets.

Answer 1

Let's do something like this first:

-5 ≥ x + 6 ≥ 5

Then split that into two separate equations:

x + 6 ≥ 5
x + 6 ≤ -5

Now, solving for x should be easy

Answer 2

okay this is what i got \[x \ge-1, x \le-11 \]

Answer 3

looks good to me. That's the correct answer.

Answer 4

ok but would this be up or down? \[\cup \]