|1-3x|>2

Solution

∣ 1 - 3 x ∣ > 2

x < - \frac{1}{3} or x > 1

Interval Notation

(- \infty, - \frac{1}{3}) \cup (1, \infty)

Decimal Notation

x < - 0.33333 \dots or x > 1

Solution steps

∣ 1 - 3 x ∣ > 2

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

u > a

1 - 3 x < - 2 or 1 - 3 x > 2

1 - 3 x < - 2 or 1 - 3 x > 2

x < - \frac{1}{3} or x > 1

∣ 2 y - 8 ∣ > 2

\frac{2}{72}

(- 1024)^{\frac{1}{5}}

- 4 + 10

\frac{3}{4} 192 - \frac{5}{6} 108