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Popular >

|-x+3|<2x-5

Solution

∣ - x + 3 ∣ < 2 x - 5

Solution

x > \frac{8}{3}

+2

Interval Notation

(\frac{8}{3}, \infty)

Decimal Notation

x > 2.66666 \dots

Solution steps

∣ - x + 3 ∣ < 2 x - 5

Find positive and negative intervals

x \leq 3, x > 3

Solve the inequality for each interval

\frac{8}{3} < x \leq 3 or x > 3

Merge Overlapping Intervals

x > \frac{8}{3}

Popular Examples

- 2 x - 5 = 6 - x - 2 x

4(5x+1)^2=x-2020

4 (5 x + 1)^{2} = x - 2020

3 x^{2} = 6 - 7 x

x^{2} - 2 x - 3 = 0

2/(x+1)>= 1/(x-2)

\frac{2}{x + 1} \geq \frac{1}{x - 2}

Frequently Asked Questions (FAQ)

What is |-x+3|<2x-5 ?
The solution to |-x+3|<2x-5 is x> 8/3