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Popular >

|x+2|<|2x|

Solution

∣ x + 2 ∣ < ∣ 2 x ∣

Solution

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

+2

Solution steps

∣ x + 2 ∣ < ∣ 2 x ∣

Find positive and negative intervals

x < - 2, - 2 \leq x < 0, x \geq 0

Solve the inequality for each interval

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

Merge Overlapping Intervals

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

Popular Examples

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x - 3 < 5

Frequently Asked Questions (FAQ)

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