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Popular >

|(3x-5)/6 |>5

Solution

\frac{3 x - 5}{6} > 5

Solution

x < - \frac{25}{3} or x > \frac{35}{3}

+2

Interval Notation

(- \infty, - \frac{25}{3}) \cup (\frac{35}{3}, \infty)

Decimal Notation

x < - 8.33333 \dots or x > 11.66666 \dots

Solution steps

\frac{3 x - 5}{6} > 5

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

\frac{3 x - 5}{6} < - 5 or \frac{3 x - 5}{6} > 5

\frac{3 x - 5}{6} < - 5 or \frac{3 x - 5}{6} > 5

x < - \frac{25}{3} or x > \frac{35}{3}

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Frequently Asked Questions (FAQ)

What is |(3x-5)/6 |>5 ?
The solution to |(3x-5)/6 |>5 is x<-25/3 \lor x> 35/3