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Popular >

|x+1|<|2x-1|

Solution

∣ x + 1 ∣ < ∣ 2 x - 1 ∣

Solution

x < 0 or x > 2

+1

Interval Notation

(- \infty, 0) \cup (2, \infty)

Solution steps

∣ x + 1 ∣ < ∣ 2 x - 1 ∣

Find positive and negative intervals

x < - 1, - 1 \leq x < \frac{1}{2}, x \geq \frac{1}{2}

Solve the inequality for each interval

x < - 1 or - 1 \leq x < 0 or x > 2

Merge Overlapping Intervals

x < 0 or x > 2

Popular Examples

|((5x+5))/(10)|>= 5

\frac{( 5 x + 5 )}{10} \geq 5

x^{2} - 2 x - 3 > 1

|x-2|+|x-3|+|x-4|>6

∣ x - 2 ∣ + ∣ x - 3 ∣ + ∣ x - 4 ∣ > 6

∣ 5 x - 2 ∣ < 3 x + 4

\frac{2 x + 2}{6} > 4

Frequently Asked Questions (FAQ)

What is |x+1|<|2x-1| ?
The solution to |x+1|<|2x-1| is x<0\lor x>2