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

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

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3=|x|+1

3 = ∣ x ∣ + 1

x = - 2 or x = 2

Solution steps

3 = ∣ x ∣ + 1

Switch sides

∣ x ∣ + 1 = 3

Move

1

to the right side

∣ x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 2 or x = 2

23 = ∣ n + 10 ∣

∣ 3 m - 2 ∣ = m^{2}

∣ 7 x ∣ = 4 + x

∣ x - 1 ∣ ∣ x + 2 ∣ = 3

9 - 2 ∣ 4 x - 2 ∣ = 7