What is the answer to | x/3-4|=2 ?

The answer to | x/3-4|=2 is x=6\lor x=18

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| x/3-4|=2

\frac{x}{3} - 4 = 2

x = 6 or x = 18

Solution steps

\frac{x}{3} - 4 = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x}{3} - 4 = - 2 or \frac{x}{3} - 4 = 2

\frac{x}{3} - 4 = - 2 or \frac{x}{3} - 4 = 2

x = 6 or x = 18

\frac{10}{- 2}

\frac{8}{x + 4} \leq 2

\frac{9 ( 1 ) ^{\frac{1}{2}}}{8}

5 y^{2} - 6 y + 1 = 0

(x - 1) (x + 1) > (x - 3) (x + 4)