What is the answer to |4x-1|=9 ?

The answer to |4x-1|=9 is x=-2\lor x= 5/2

Solve for x: |4x-1|=9

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

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∣ 4 x - 1 ∣ = 9

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

Decimal Notation

x = - 2, x = 2.5

Solution steps

∣ 4 x - 1 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 1 = - 9 or 4 x - 1 = 9

4 x - 1 = - 9 or 4 x - 1 = 9

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

∣ 4 x - 1 ∣ = 3

3 ∣ x - 2 ∣ - 1 = 11

∣ x ∣ + 7 = 9

∣ x ∣ + 7 = 4

∣ 3 x + 1 ∣ = x - 3