What is the answer to |2x-1|=4 ?

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

Solve for x: |2x-1|=4

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

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∣ 2 x - 1 ∣ = 4

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

Solution steps

∣ 2 x - 1 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 4 or 2 x - 1 = 4

2 x - 1 = - 4 or 2 x - 1 = 4

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

5 x^{2} + 5 = - 10 x

x - 6 \leq 3

2 (- 2) - 5 y = 10

- 5 (2 b + 7) + b < - b - 11

\frac{1}{2 - 3}