What is the answer to | 1/2 x-4|=5 ?

The answer to | 1/2 x-4|=5 is x=-2\lor x=18

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| 1/2 x-4|=5

\frac{1}{2} x - 4 = 5

x = - 2 or x = 18

Solution steps

\frac{1}{2} x - 4 = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{1}{2} x - 4 = - 5 or \frac{1}{2} x - 4 = 5

\frac{1}{2} x - 4 = - 5 or \frac{1}{2} x - 4 = 5

x = - 2 or x = 18

- x^{2} + ∣ 9 x ∣ + 10 = 0

2 = ∣ s + 2 ∣

11 - ∣ x - 7 ∣ = 0

∣ 3 - 4 x ∣ = 8

∣ 3 - 4 x ∣ = 6

What is the answer to | 1/2 x-4|=5 ?
The answer to | 1/2 x-4|=5 is x=-2\lor x=18
Solve for x: | 1/2 x-4|=5
The solution is x=-2\lor x=18