Question

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

Answer 1

Do you know the first step, hun?

Answer 2

answer choices are:
x < –6 or x > 6
x < –6 or x > –4
x < –4 or x > –4
x < –4 or x > 6

and I would really love to know HOW to do this, not just the answers

Answer 3

no I really don't know where to start

Answer 4

Okay, so firstly, you want to solve it like a normal inequality.

x + 5 > 1,

Solve that, hun

Answer 5

x>-4, yes?

Answer 6

Yes.

Now solve:

-x - 5 > 1

Answer 7

why negative x?
x<-6

Answer 8

Yes. You just solved it.

Answer 9

wait, what? its that easy? and how would I know if something is 'or' or 'and'?

Answer 10

If it is, "OR," that means it can be either greater than or less than.

If it is, "AND," that means it is greater-than xxx but also less than xxx.

Answer 11

oooooh. thanks a ton! so my answer is x < -6 or x > -4, correct?

Answer 12

Yes.

The image above is x < 1 OR x > 1

Answer 13

okay thank you sooo much darling! :)