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Popular >

|x-2|<3x+1

Solution

∣ x - 2 ∣ < 3 x + 1

Solution

x > \frac{1}{4}

+2

Interval Notation

(\frac{1}{4}, \infty)

Decimal Notation

x > 0.25

Solution steps

∣ x - 2 ∣ < 3 x + 1

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

\frac{1}{4} < x < 2 or x \geq 2

Merge Overlapping Intervals

x > \frac{1}{4}

Popular Examples

simplify 100(1024)^{3/5}(243)^{2/5}simplify

100 (1024)^{\frac{3}{5}} (243)^{\frac{2}{5}}

factor 32x^3-150x+125 factor

32 x^{3} - 150 x + 125

10 x^{2} + 45 x = 25

simplify sqrt(1156)simplify

1156

3 x^{2} + 5 x = 2

Frequently Asked Questions (FAQ)

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