|9-x|<2-3x

Solution

∣ 9 - x ∣ < 2 - 3 x

x < - \frac{7}{2}

Interval Notation

(- \infty, - \frac{7}{2})

Decimal Notation

x < - 3.5

Solution steps

∣ 9 - x ∣ < 2 - 3 x

Find positive and negative intervals

x \leq 9, x > 9

Solve the inequality for each interval

x < - \frac{7}{2} or No Solution

Merge Overlapping Intervals

x < - \frac{7}{2}

∣ x - 1 ∣ + ∣ x - 2 ∣ > 3

- x^{2} - 9 x - 7 \geq 1

∣ x - 2 ∣ > 2 + x - ∣ 3 - x ∣

∣ x - 1 ∣ + ∣ x - 2 ∣ + ∣ x - 3 ∣ \leq 6

\frac{1}{∣ x - 2 ∣} \geq \frac{1}{4}