What is the answer to |x-6|=2 ?

The answer to |x-6|=2 is x=4\lor x=8

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|x-6|=2

∣ x - 6 ∣ = 2

x = 4 or x = 8

Solution steps

∣ x - 6 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - 2 or x - 6 = 2

x - 6 = - 2 or x - 6 = 2

x = 4 or x = 8

\frac{7}{x} > 6

(x - 2)^{4} (3 x + 2)^{3} - 10 (x - 2) + 9

52 t - 16 t^{2}

2 r - 1 > 17

(1 + \frac{1}{10})^{10}