What is the answer to |3x-1|=11 ?

The answer to |3x-1|=11 is x=-10/3 \lor x=4

Solve for x: |3x-1|=11

The solution is x=-10/3 \lor x=4

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∣ 3 x - 1 ∣ = 11

x = - \frac{10}{3} or x = 4

Decimal Notation

x = - 3.33333 \dots, x = 4

Solution steps

∣ 3 x - 1 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 1 = - 11 or 3 x - 1 = 11

3 x - 1 = - 11 or 3 x - 1 = 11

x = - \frac{10}{3} or x = 4

∣ 3 x - 1 ∣ = 16

- 7 ∣ - 3 - 3 r ∣ = - 21

x^{2} - 5 = 1

∣ x + 5 ∣ - 1 = - 1

9 ∣ - 2 v + 1 ∣ + 1 = 46