What is the answer to |4x-1|=15 ?

The answer to |4x-1|=15 is x=-7/2 \lor x=4

Solve for x: |4x-1|=15

The solution is x=-7/2 \lor x=4

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∣ 4 x - 1 ∣ = 15

x = - \frac{7}{2} or x = 4

Decimal Notation

x = - 3.5, x = 4

Solution steps

∣ 4 x - 1 ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 1 = - 15 or 4 x - 1 = 15

4 x - 1 = - 15 or 4 x - 1 = 15

x = - \frac{7}{2} or x = 4

∣ 5 ∣

- 6 < 3 (x - 2) \leq 8

\frac{x}{70} + \frac{x}{210} \leq 20

- \frac{1}{2} (- 4 + 2 x) = - 6 - 4 x

∣ 3 x - 2 ∣ > 4