What is the answer to |x-1|=3 ?

The answer to |x-1|=3 is x=-2\lor x=4

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|x-1|=3

∣ x - 1 ∣ = 3

x = - 2 or x = 4

Solution steps

∣ x - 1 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 1 = - 3 or x - 1 = 3

x - 1 = - 3 or x - 1 = 3

x = - 2 or x = 4

2 w x + 10 w + 7 x + 35

2 x^{2} - 12 x + 4

1^{- 4}

(y^{\frac{1}{3}})^{2}

6 x = 2 x + 48