Question

|x + 5| > 12


–7 < x < 7
–17 < x < 7
x > –17 or x < 7
x < –17 or x > 7

Answer 1

Well the bars mean that anything within them will have a positive end-result. They're called absolute value.

Answer 2

ok

Answer 3

So that means that even if you get -8 it would be positive 8 as long as it's surrounded by the bars.

Answer 4

ok i get that part

Answer 5

So let's plug in some of the answers for x. For the first choice, it can be any number between -7 and 7. So let's plug in 0. Is 0+5 greater than 12?

Answer 6

no

Answer 7

Then the first choice isn't the right one. We could also put in 0 for the second one, which means that one won't be right either.

Answer 8

For the third, we can also put in 0 so it can't be the answer either. So what's left?

Answer 9

so the answer is either the first or last

Answer 10

We have already eliminated the first one.

Answer 11

so its the last?

Answer 12

Yes, it would be the last.