Question

Solve for x: |x − 2| + 10 = 12 (1 point)

Answer 1

I think that would be 1

Explanation:

Do everything in the lines before anything else. -2 becomes a 2 and then you add that with the 12 and divide 12 on both sides to get one.

Answer 2

x = 0 or 4

Explanation:

The absolute value function can be resolved into two equations. These one- or two-step equations can be solved in the usual way.

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negative argument

-(x -2) +10 = 12

-x = 0 . . . . . . . . . simplify, subtract 12

x = 0 . . . . . . . . . multiply by -1. Check: 0 -2 is negative.

positive argument

x -2 +10 = 12

x = 4 . . . . . . . . . simplify, subtract 8. Check: 4 -2 is positive.

The two solutions are x=0 and x=4.