Respuesta :

Answer:

The equation has two answers

X = 0

X = 2

Step-by-step explanation:

The answer is absolute value or positive or negative, So it is

[tex] |x - 1| = 1[/tex]

[tex] |x - 1| = - 1[/tex]

We solve the equations and the answer is obtained

Hey there!

|x - 1| = 1 


TRANSLATE:

x - 1 = 1 or x - 1 = -1


SOLVING for: x - 1 = 1

x - 1 = 1

ADD 1 to BOTH SIDES

x - 1 + 1 = 1 + 1

CANCEL out: -1 + 1 because it give you 0

KEEP: 1 + 1 because it help solve for the current x-value

NEW EQUATION: x = 1 + 1

SIMPLIFY IT!
x = 2

Thus, your answer is: x = 2

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SOLVING for: x - 1 = -1

x - 1 = -1

ADD 1 to BOTH SIDES

x - 1 + 1 = -1 + 1

CANCEL out: -1 + 1 (the LEFT SIDE) because it give you 0

KEEP: -1 + 1 (the RIGHT SIDE) because it give you the current x-value

NEW EQUATION: x = -1 + 1

SIMPLIFY IT!
x = 0

Thus, your answer is: x = 0

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Therefore, your overall answer is:

x = 2 or x = 0


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

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