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Popular >

|2x-3|>4

Solution

∣ 2 x - 3 ∣ > 4

Solution

x < - \frac{1}{2} or x > \frac{7}{2}

+2

Interval Notation

(- \infty, - \frac{1}{2}) \cup (\frac{7}{2}, \infty)

Decimal Notation

x < - 0.5 or x > 3.5

Solution steps

∣ 2 x - 3 ∣ > 4

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x - 3 < - 4 or 2 x - 3 > 4

2 x - 3 < - 4 or 2 x - 3 > 4

x < - \frac{1}{2} or x > \frac{7}{2}

Popular Examples

x^{2} - x - 12 \leq 0

factor 2x^2-4x-2 factor

2 x^{2} - 4 x - 2

- 6 < 3 k - 9 \leq 0

simplify (50y^3)/(8xy^2)simplify

\frac{50 y ^{3}}{8 x y ^{2}}

simplify 5/12+3/8 simplify

\frac{5}{12} + \frac{3}{8}

Frequently Asked Questions (FAQ)

What is |2x-3|>4 ?
The solution to |2x-3|>4 is x<-1/2 \lor x> 7/2