Question

Solve the absolute value equation.

|3x| = 12
A.
{4, 4}
B.
{4, –4}
C.
{–4, –4}
D.
no solution

Answer 1

Means 3x=12

or
-(3x)=12

Answer 2

so the answer is A. or B because Im not really sure what is may be

Answer 3

What values can we plug in for x and still get 12 for our solution? Refer to @AravindG's 2 equations.

Answer 4

The absolute value, remember, is what? |x| = ?
|-x| = ?

Answer 5

12?

Answer 6

First tell me what the answers are to these two equations:

|x| = ?
|-x| = ?

Answer 7

huh?

Answer 8

The absolute value is asking, how far from 0 is what is inside the absolute value signs.

So it will always yield an answer that is greater than 0, as we are measuring distance* which cannot be negative.

Answer 9

Let's try this,
Can you tell me what the '?' is?

|2| = 2
|-2| = '?'

Answer 10

2? right

Answer 11

Alright, so you need to know that regardless of whether what we put inside the absolute value signs is negative or positive, it will always yield a positive answer.

|3| = 3
|-3| = 3

|3000| = 3000
|-3000| = 3000

|x| = x
|-x| = ?

Answer 12

Correct! |-2| = 2

So let's move onto your problem,

|3x| = 12

Answer 13

What two values can we plug in for x and still get 12 as our solution?

Answer 14

2? im not sure

Answer 15

Use the values in the { } signs and plug them into your x and solve each to see which answers come out true, and which ones come out false.