What is the answer to |x|-8=1 ?

The answer to |x|-8=1 is x=-9\lor x=9

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|x|-8=1

∣ x ∣ - 8 = 1

x = - 9 or x = 9

Solution steps

∣ x ∣ - 8 = 1

Move

8

to the right side

∣ x ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 9 or x = 9

- 2 ∣ 5 y - 1 ∣ = - 10

- 3 ∣ x - 4 ∣ - 4 = 3

∣ 7 x ∣ = 21

5 f - ∣ 3 f + 4 ∣ = 20

∣ x - 2 ∣ = 2 - (x - 2)^{2}