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Which values of x will make the absolute value equation true? |x – 2| = 6
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2 votes
Which values of x will make the absolute value equation true?

|x – 2| = 6

User Inshua
by
8.3k points

1 Answer

3 votes
Split it into two equations:

x - 2 = 6

and

-x + 2 = 6

-----------------------------------------------

x - 2 = 6

Add 2 to both sides:

x = 8

-x + 2 = 6

Subtract 2 to both sides:

-x = 4

Multiply -1 to both sides:

x = -4

So x = 8 and x = -4.
User Skurt
by
8.0k points
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