Question

Hello I have homework and I'm really confused 52) |x+3|=-2

Answer 1

| x + 3 | = -2

(x + 3) = -2
x = -2 - 3
x = -5

-(x + 3) = -2
-x - 3 = -2
-x = -2 + 3
-x = 1
x = -1

so x = -5 and x = -1

http://www.purplemath.com/modules/solveabs.htm

Answer 2

I left a link that I think you should look at.

Answer 3

absolute value measures distance from an origin, so its never negative.

Answer 4

at least it has no real solutions

Answer 5

check out the link...there are negative values for x

Answer 6

we can graph |x+3| and -2, and try to see where they cross at:

Answer 7

can you test out your solutions?

Answer 8

| x + 3 | = -2
| -5 + 3 | = -2
| -2} = -2
2 = -2

oh....I see what you mean

Answer 9

:)

the confusion arises most likely from thinking that there has to be a solution ... when 'no real solutions' is a perfectly adequate way to define the solutions.

Answer 10

good explaining :)

Answer 11

Can you guys halo me with another question 4|k+5|>8

Answer 12

how far can you get on your own with it?

Answer 13

divide and then split the absolute into 2 cases if need be.

Answer 14

Sorry I don't understand what you just said.