What is |3y-1|-|2y-3|>0 ?

The solution to |3y-1|-|2y-3|>0 is y 4/5

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|3y-1|-|2y-3|>0

∣ 3 y - 1 ∣ - ∣ 2 y - 3 ∣ > 0

y < - 2 or y > \frac{4}{5}

Interval Notation

(- \infty, - 2) \cup (\frac{4}{5}, \infty)

Decimal Notation

y < - 2 or y > 0.8

Solution steps

∣ 3 y - 1 ∣ - ∣ 2 y - 3 ∣ > 0

Find positive and negative intervals

y < \frac{1}{3}, \frac{1}{3} \leq y < \frac{3}{2}, y \geq \frac{3}{2}

Solve the inequality for each interval

y < - 2 or \frac{4}{5} < y < \frac{3}{2} or y \geq \frac{3}{2}

Merge Overlapping Intervals

y < - 2 or y > \frac{4}{5}

x - 3 = 1

x + 2 x + 3 x - 8 = 10

- 16 t^{2} + 96 t + 256 = 0

(1 + 2 i) (1 - 4 i)

\frac{5}{6} + \frac{3}{8}