Question

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 correct step to solve the equation?

Answer 1

x – 4 = –7

Answer 2

I think it's step 2.

Answer 3

i agree

Answer 4

x+2=4
-x-2=4
x+2=4
x-2=-4

Answer 5

i need to find the correct step after

Answer 6

For absolute value, we can drop the absolute bars by throwing a plus/minus symbol in front of the stuff.\[\large\rm |\color{royalblue}{stuff}|=4\]\[\large\rm \pm\color{royalblue}{stuff}=4\]Let's write the plus/minus on the other side though, that will make things easier.\[\large\rm \color{royalblue}{stuff}=\pm 4\]

Answer 7

So notice that we actually have `two` equations now.
One for the plus case, and another for the negative.\[\large\rm \color{royalblue}{stuff}=4\]\[\large\rm \color{royalblue}{stuff}= -4\]

Answer 8

yeah is step 2

Answer 9

And for our problem, the `stuff` is simply `x-2`.

Answer 10

i guess everyone else got confused by the question lol

Answer 11

ahh sorry

Answer 12

Do you understand what I did with the absolute there? :O
Your `stuff` is `x-2`.
So you're looking for an option that matches one of these,\[\large\rm \color{royalblue}{x-2}=4\]\[\large\rm \color{royalblue}{x-2}=-4\]

Answer 13

so its x-2=-4 would be the next step to solve the equation

Answer 14

Option 4?
Yay good job \c:/

Answer 15

Thank you so much! algebra is kicking my butt this summer