What is the answer to |x|+2=3 ?

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

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|x|+2=3

∣ x ∣ + 2 = 3

x = - 1 or x = 1

Solution steps

∣ x ∣ + 2 = 3

Move

2

to the right side

∣ x ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 1 or x = 1

2 ∣ x ∣ + ∣ x - 1 ∣ = 5

∣ x + 1 ∣ - ∣ x ∣ = \frac{x}{2}

2 ∣ x ∣ + ∣ x - 1 ∣ = 2

x^{2} - 4 x - 5 = 4

∣ 4 z + 6 ∣ = - 10