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Popular >

|2x-10|<= 2x

Solution

∣ 2 x - 10 ∣ \leq 2 x

Solution

x \geq \frac{5}{2}

+2

Interval Notation

[\frac{5}{2}, \infty)

Decimal Notation

x \geq 2.5

Solution steps

∣ 2 x - 10 ∣ \leq 2 x

Find positive and negative intervals

x < 5, x \geq 5

Solve the inequality for each interval

\frac{5}{2} \leq x < 5 or x \geq 5

Merge Overlapping Intervals

x \geq \frac{5}{2}

Popular Examples

x^{2} + 7 x \leq - 12

simplify sqrt(279)simplify

279

∣ x - 6 ∣ < - 5

3 (n + 14) = 9 n

\frac{2 x + 7}{2} = 5 x - 1

Frequently Asked Questions (FAQ)

What is |2x-10|<= 2x ?
The solution to |2x-10|<= 2x is x>= 5/2