SOLUTION: The solution set of [x-6]=4 is______. -2 or 2 -2 or 10 2 or -10 2 or 10

Question 174312: The solution set of [x-6]=4 is______.

-2 or 2
-2 or 10
2 or -10
2 or 10

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Break up the absolute value (remember, if you have , then or )

or Set the expression equal to the original value 4 and it's opposite -4

Now lets focus on the first equation

Add 6 to both sides

Combine like terms on the right side

Now lets focus on the second equation

Add 6 to both sides

Combine like terms on the right side

=========================================================

Answer:

So the solutions are:

or

Notice if we graph and (just set each side equal to y and graph), we get

Graph of (red) and (green)

and we can see the two graphs intersect at and . So this verifies our answer.

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