Question

Someone help me out here?


What is the solution set of the absolute value sentence
|x - 6| = -10?
A. {4/3, -4}
B. {x|x > 4 or x < -4/5}
C. No Solution
D. {x|-11 < x < -7}
E. All Real Numbers

Answer 1

What do you know about absolute values?

Answer 2

Not very much.

Answer 3

Try to think of one thing. What is the absolute value of 3?

Answer 4

That's not true.

Answer 5

Then tell me what the absolute value of 3 is.

Answer 6

You tell me

Answer 7

So there is your problem. The absolute value of a number is either the number or its opposite, whichever is positive.

Answer 8

So the absolute value of 3 is either 3 or the opposite of 3, whichever one is positive. So what is the absolute value of 3?

Answer 9

either 3 or negative 3 lol that's what you just told me rite?

Answer 10

So your job is to pick which one is the positive one. Remember...I said either 3 or negative three, whichever one is positive.

Answer 11

So what is the absolute value of 3?

Answer 12

3

Answer 13

Yes. The absolute value of 3 is 3. What is the absolute value of -3? Remember it is either 3 or -3. Whichever one is positive.

Answer 14

3 but how is this helping me get my answer?

Answer 15

I am the teacher and you are the student. So just answer my questions.

Answer 16

What is the absolute value of 15?

Answer 17

15

Answer 18

What is the absolute value of -15?

Answer 19

15

Answer 20

So what can you tell me about all absolute values?

Answer 21

the number will always be positive

Answer 22

very good. So if I said to you, "Think of a number whose absolute value is -8" What would you say to me?

Answer 23

The number would be 8.

Answer 24

Read my question again: Think of a number whose absolute value is NEGATIVE 8

Answer 25

did you not just tell me that an absolute value will always be positive?

Answer 26

Ohhhh, i guess it's not alway's going to be :/ Either that question is wrong or i am wrong.

Answer 27

The absolute value IS always POSITIVE. Repeat that statement to yourself 50 times.

Answer 28

So than what you asked me is impossible?

Answer 29

the negative 8 thing

Answer 30

YEAH!!!!! You got it!!!!!

Answer 31

So If I say to you, "think of a number whose absolute value is -8", you should say, "There is no such number."

Answer 32

Yes :)

Answer 33

\[|x-6|=-10\]

Answer 34

Now look at your problem. See what it say? It says the absolute value is equal to -10

Answer 35

So what do you say back to your problem?

Answer 36

So theres no solution?

Answer 37

Way to go!!! And thanks for sticking with me. Isn't learning fun?????

Answer 38

Lol i guess so.

Answer 39

So what about this one?

Answer 40

What is the solution set of the absolute value sentence
|x + 9| < 2?
A. {4/3, -4}
B. {x|x > 4 or x < -4/5}
C. No Solution
D. {x|-11 < x < -7}
E. All Real Numbers

Answer 41

Ok. Now think of a number line. Where are the numbers that have absolute value that is less than 2?

Answer 42

To the left

Answer 43

Put you pencil on one of those numbers and ask yourself "What is the absolute value of this number?" And keep doing that until you find some that the answer is less that 2.

Answer 44

How about 3? Does that work?

Answer 45

Is the absolute value of 3 less than 2?

Answer 46

When i look at the answers none of them make sense to me at all. And no it's 3

Answer 47

You're getting ahead of me here. All we are trying to do is think of the numbers whose absolute value is less than two.

Answer 48

The only number that is less than too but is still absolute is 1.