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

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

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

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

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∣ 1 - 4 x ∣ = 11

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

Decimal Notation

x = - 2.5, x = 3

Solution steps

∣ 1 - 4 x ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

- 4 = - ∣ t ∣

∣ a + 1 ∣ = 11

∣ 6 x + 9 ∣ + 5 = 4

∣ a + 1 ∣ = - 3

- 5 ∣ x - 4 ∣ = - 15