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Popular >

|x-3|<= 2x-5

Solution

∣ x - 3 ∣ \leq 2 x - 5

Solution

x \geq \frac{8}{3}

+2

Interval Notation

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

Decimal Notation

x \geq 2.66666 \dots

Solution steps

∣ x - 3 ∣ \leq 2 x - 5

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

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

Merge Overlapping Intervals

x \geq \frac{8}{3}

Popular Examples

factor 5u^4-40u^3+35u^2 factor

5 u^{4} - 40 u^{3} + 35 u^{2}

factor 2x^3+3x^2-8x-12 factor

2 x^{3} + 3 x^{2} - 8 x - 12

(x-2)/(x^2-36)>= 0

\frac{x - 2}{x ^{2} - 36} \geq 0

simplify (20x^2y^2)/(4xy)simplify

\frac{20 x ^{2} y ^{2}}{4 x y}

| 1/(x+1)|+| 1/(x-2)|<1

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

Frequently Asked Questions (FAQ)

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