What is the answer to 2-|k-1|=-6 ?

The answer to 2-|k-1|=-6 is k=-7\lor k=9

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2-|k-1|=-6

2 - ∣ k - 1 ∣ = - 6

k = - 7 or k = 9

Solution steps

2 - ∣ k - 1 ∣ = - 6

Move

2

to the right side

- ∣ k - 1 ∣ = - 8

Divide both sides by

- 1

∣ k - 1 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

k - 1 = - 8 or k - 1 = 8

k - 1 = - 8 or k - 1 = 8

k = - 7 or k = 9

- ∣ 4 x + 10 ∣ - 7 = - 14

∣ x ∣ = 2 x - 1

∣ 3 x - 7 ∣ + 7 = 12

x^{2} - 3 = 2

∣ r ∣ + 2 = 3