Question

Solve for x: −2|x − 3| = −12

A: x = −3, x = 4.5

B: x = 3, x = 9

C: x = −3, x = 9

D: No solutions

Answer 1

Step one: divide both sides by -2, what do you get?

Answer 2

X-3= 0.16666666666666667

Answer 3

@JamesJ

Answer 4

-12/-2 = 6

Hence |x - 3| = 6

Answer 5

hahaa but you said -2/-12 so thats what I did lol

Answer 6

I said divide both sides by -2.

Anyway, what's the next step?

Answer 7

w/e hahah... um, add 3 on both sides?

Answer 8

|x-3| = 6 are numbers x which are a distance 6 from 3.

What numbers satisfy that relationship?

Answer 9

9?

Answer 10

9 is one number 6 from 3. Yes. Any others?

Answer 11

not sure ahaha...

Answer 12

Draw a number line. Mark out 0 and 3. Ask yourself again: what numbers are a distance 6 from 3? there are two such numbers.

Answer 13

4 and 5?

Answer 14

4 is a distance of 1 from 3.
5 is a distance of 2 from 3.

Answer 15

just help me out man hahaha Im not sure what you mean?

Answer 16

6 is a distance of 3 from 3, yes?
7 is at a distance of 4 from 3, yes?

2 is a distance 1 from 3, yes?
1 is a distance of 2 from 3, yes?

Answer 17

yeah

Answer 18

|x-3| measures the distance of x from 3.

For example, if x = 9,
|x-3| = |9-3|
= |6|
= 6

Answer 19

What other number, x has the property that
|x-3| = 6 ?

Answer 20

umm....

Answer 21

If
|x-3| = 6
then either
x - 3 = 6 or x - 3 = -6

hence x = ..... or .....

Answer 22

9 and

Answer 23

damn!! Im not even sure!

Answer 24

0
If
|x-3| = 6
then either
x - 3 = 6 or x - 3 = -6

Now, x - 3 = 6 ==> x = 6 + 3 = 9
if x - 3 = -6 ==> x = -6 + 3 = ....

Answer 25

-3

Answer 26

Yes -3 and +3 are a distance of 6 apart.

Answer 27

yeah

Answer 28

so is the answer c?

Answer 29

Looks like it

Answer 30

okay thanks.. you want to help me on some more?

Answer 31

No, sorry. I have some of my own work to do now.

Answer 32

damn.. okay