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

The answer to 2-|6x|=1 is x=-1/6 \lor x= 1/6

Solve for x: 2-|6x|=1

The solution is x=-1/6 \lor x= 1/6

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2 - ∣ 6 x ∣ = 1

x = - \frac{1}{6} or x = \frac{1}{6}

Decimal Notation

x = - 0.16666 \dots, x = 0.16666 \dots

Solution steps

2 - ∣ 6 x ∣ = 1

Move

2

to the right side

- ∣ 6 x ∣ = - 1

Divide both sides by

- 1

∣ 6 x ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x = - 1 or 6 x = 1

6 x = - 1 or 6 x = 1

x = - \frac{1}{6} or x = \frac{1}{6}

2 = 8 + ∣ 10 x - 5 ∣

- 8 ∣ v + 6 ∣ = - 72

∣ 2 x + 4 ∣ + 7 = 6

∣ y ∣ = \frac{1}{x}

∣ 3 c - 3 ∣ + 6 = 39