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:)
