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Popular >

|2x-3|>6

Solution

∣ 2 x - 3 ∣ > 6

Solution

x < - \frac{3}{2} or x > \frac{9}{2}

+2

Interval Notation

(- \infty, - \frac{3}{2}) \cup (\frac{9}{2}, \infty)

Decimal Notation

x < - 1.5 or x > 4.5

Solution steps

∣ 2 x - 3 ∣ > 6

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x - 3 < - 6 or 2 x - 3 > 6

2 x - 3 < - 6 or 2 x - 3 > 6

x < - \frac{3}{2} or x > \frac{9}{2}

Popular Examples

factor x^4-15x^2+54 factor

x^{4} - 15 x^{2} + 54

2 n + 46 = 4 (n + 10)

simplify (48a^5b^3)/(3a^2b)simplify

\frac{48 a ^{5} b ^{3}}{3 a ^{2} b}

4 x + 8 = x + 2

simplify (x^{-10/3})/(x^3)simplify

\frac{x ^{- \frac{10}{3}}}{x ^{3}}

Frequently Asked Questions (FAQ)

What is |2x-3|>6 ?
The solution to |2x-3|>6 is x<-3/2 \lor x> 9/2