What is |x-1/2 |>| 1/2 x-5| ?

The solution to |x-1/2 |>| 1/2 x-5| is x 11/3

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|x-1/2 |>| 1/2 x-5|

x - \frac{1}{2} > \frac{1}{2} x - 5

x < - 9 or x > \frac{11}{3}

Solution steps

x - \frac{1}{2} > \frac{1}{2} x - 5

Find positive and negative intervals

x < \frac{1}{2}, \frac{1}{2} \leq x < 10, x \geq 10

Solve the inequality for each interval

x < - 9 or \frac{11}{3} < x < 10 or x \geq 10

Merge Overlapping Intervals

x < - 9 or x > \frac{11}{3}

86148.9 (1 - \frac{2}{10})^{1}

∣ 2 x - 5 ∣ < 6

z + 7 \leq 9

\frac{- 3 x}{4} > \frac{20}{4}

6^{2} + 1 0^{2} = c^{2}

What is |x-1/2 |>| 1/2 x-5| ?
The solution to |x-1/2 |>| 1/2 x-5| is x<-9\lor x> 11/3