Question

@lowkey.s @asc.bchs Below are the steps to solve an equation:

Step 1: |x − 2| + 3 = 7
Step 2: |x − 2| = 7 − 3
Step 3: |x − 2| = 4

Which of the following is a correct next step to solve the equation?
x + 2 = −4
−x − 2 = 4
x + 2 = 4
x − 2 = −4

Answer 1

Any guess?

Answer 2

the first one

Answer 3

Take another try

Answer 4

@brooke..help00

Answer 5

Oh the third one I didn't realize that said negative 4

Answer 6

no

Answer 7

It's alright but, lets figure this out

Answer 8

ok:)

Answer 9

So what do I do?

Answer 10

Solve the problem yourself in its entirety. If you can do that, you should be able to identify the correct next step.

Answer 11

It has to be the last one

Answer 12

Hello? Anyone?

Answer 13

\[\large\rm |x-2|=4\]
Hey Brooke :)
We can drop the absolute bars by putting a plus/minus symbol on our expression.\\[\large\rm \pm(x-2)=4\]Sometimes we write the plus/minus on the other side because it's more convenient.\[\large\rm x-2=\pm4\]This corresponds to two equations,\[\large\rm x-2=4\]\[\large\rm x-2=-4\]

Answer 14

Thank you so much!!!!!!!!!!!!!!!!

Answer 15

Oh wait its B... its asking the correct next step
Neverming it is B

Answer 16

If we had left the plus/minus on the left side of the equation,
then,\[\large\rm -(x-2)=4\]could have been a correct next step.
But notice that is equivalent to \(\large\rm -x+2=4\) after districuting the negative,
which is not option B, ya?

Answer 17

distributing*

Answer 18

Ya it was D
:P

Answer 19

Oh

Answer 20

Okay cause I thought it was D but, than I had a second thought so, zepdrix is right