What is the answer to |x-1|+2=4 ?

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

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|x-1|+2=4

∣ x - 1 ∣ + 2 = 4

x = - 1 or x = 3

Solution steps

∣ x - 1 ∣ + 2 = 4

Move

2

to the right side

∣ x - 1 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 1 = - 2 or x - 1 = 2

x - 1 = - 2 or x - 1 = 2

x = - 1 or x = 3

∣ 2 x - 7 ∣ = ∣ x + 4 ∣

∣ 4 x - 2 ∣ = ∣ x + 7 ∣

\frac{x - 2}{3} - 0 (3) = \frac{1}{3}

2 ∣ x ∣ + ∣ 2 x + 3 ∣ = 7

2 ∣ x - 1 ∣ = 2 x - 7