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Popular >

|2x-1|>4

Solution

∣ 2 x - 1 ∣ > 4

Solution

x < - \frac{3}{2} or x > \frac{5}{2}

+2

Interval Notation

(- \infty, - \frac{3}{2}) \cup (\frac{5}{2}, \infty)

Decimal Notation

x < - 1.5 or x > 2.5

Solution steps

∣ 2 x - 1 ∣ > 4

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

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}

Popular Examples

simplify 1/8*1/2 simplify

\frac{1}{8} \cdot \frac{1}{2}

simplify sqrt(-3)*sqrt(-75)simplify

- 3 \cdot - 75

1/2 (1+x)< 1/3 (1-x)

\frac{1}{2} (1 + x) < \frac{1}{3} (1 - x)

3 x^{2} + 10 x - 12 = 0

factor 2x^3-2x^2-4x factor

2 x^{3} - 2 x^{2} - 4 x

Frequently Asked Questions (FAQ)

What is |2x-1|>4 ?
The solution to |2x-1|>4 is x<-3/2 \lor x> 5/2