What is the answer to |4x-1|=11 ?

The answer to |4x-1|=11 is x=-5/2 \lor x=3

Solve for x: |4x-1|=11

The solution is x=-5/2 \lor x=3

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∣ 4 x - 1 ∣ = 11

x = - \frac{5}{2} or x = 3

Decimal Notation

x = - 2.5, x = 3

Solution steps

∣ 4 x - 1 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 1 = - 11 or 4 x - 1 = 11

4 x - 1 = - 11 or 4 x - 1 = 11

x = - \frac{5}{2} or x = 3

∣ 10 x - 2 ∣ + 1 = 79

∣ 3 x - 7 ∣ = - 2

∣ 3 x - 7 ∣ = - 4

∣ u - 4 ∣ = - \frac{1}{3}

∣ x + 2 ∣ + 2 = 5