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Popular >

|2x-5|<2|x|

Solution

∣ 2 x - 5 ∣ < 2 ∣ x ∣

Solution

x > \frac{5}{4}

+2

Interval Notation

(\frac{5}{4}, \infty)

Decimal Notation

x > 1.25

Solution steps

∣ 2 x - 5 ∣ < 2 ∣ x ∣

Find positive and negative intervals

x < 0, 0 \leq x < \frac{5}{2}, x \geq \frac{5}{2}

Solve the inequality for each interval

No Solution or \frac{5}{4} < x < \frac{5}{2} or x \geq \frac{5}{2}

Merge Overlapping Intervals

x > \frac{5}{4}

Popular Examples

(x - 3) (x + 4) = 8

r + 14 = 10.99

simplify 6/(1/8)simplify

\frac{6}{\frac{1}{8}}

factor 4x^2+2x-56 factor

4 x^{2} + 2 x - 56

2 x + 9 = 5 x + 4

Frequently Asked Questions (FAQ)

What is |2x-5|<2|x| ?
The solution to |2x-5|<2|x| is x> 5/4