Question

Which of the following is equivalent to |x + 11| = 13?
and how do you solve it.

Answer 1

You didn't give us any choices, but do you want to see how to solve it?

Answer 2

yes,

Answer 3

you solve two equations
\[x+11=13\] and
\[x+11=-13\] to get your two answers

Answer 4

Well, think of it this way: you know that absolute values will give you the same answer whether the number inside is positive or negative, right?

Answer 5

So if I say that |a| = 13, what can a itself equal?

Answer 6

Note that my example is not exactly the same as your question, but we're going to use the logic that we get from this example to solve your question.

Answer 7

But yeah, what two values can "a" equal in my example?

Answer 8

would the same rule apply with |x – 2| < 6 ??

Answer 9

\[|x-2|<6\] says in math that the distance between x and 2 is less than 6

Answer 10

Kind of. But let's work towards solving your first example first. And in order to do that, lemme make sure you understand why we're going to use the technique that we're using. So if I have |A| = 13, what two values can A equal?

Answer 11

let me not interrupt. sorry

Answer 12

sorry, you were both helping me.

Answer 13

Not a problem, Satellite! Feel free to help as well, I see no problem with it. ^_^

Answer 14

But hellowagner, did you have an answer yet for what A is in |A| = 13?