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

The answer to |x-2|=4 is x=-2\lor x=6

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|x-2|=4

∣ x - 2 ∣ = 4

x = - 2 or x = 6

Solution steps

∣ x - 2 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - 4 or x - 2 = 4

x - 2 = - 4 or x - 2 = 4

x = - 2 or x = 6

\frac{10}{11} - \frac{10}{15}

3 (7 - x) - 6 = 0

10 - 4 x \leq 1

(x + y)^{3} (3 x - 2 y)^{4} + 2 (x + y)^{4} (3 x - 2 y)^{3}

2 t^{2} + 5 t + 2