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Popular >

|x-3|<2|x|

Solution

∣ x - 3 ∣ < 2 ∣ x ∣

Solution

x < - 3 or x > 1

+1

Interval Notation

(- \infty, - 3) \cup (1, \infty)

Solution steps

∣ x - 3 ∣ < 2 ∣ x ∣

Find positive and negative intervals

x < 0, 0 \leq x < 3, x \geq 3

Solve the inequality for each interval

x < - 3 or 1 < x < 3 or x \geq 3

Merge Overlapping Intervals

x < - 3 or x > 1

Popular Examples

simplify (2ab^{-1})/(3e^{-3)d}simplify

\frac{2 a b ^{- 1}}{3 e ^{- 3} d}

simplify x^2*x^6 simplify

x^{2} \cdot x^{6}

simplify 7/(5i)simplify

\frac{7}{5 i}

5 - x = x - 3

\frac{x - 4}{3} = 10

Frequently Asked Questions (FAQ)

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