What is |2t-1|>3t+5 ?

The solution to |2t-1|>3t+5 is t<-4/5

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|2t-1|>3t+5

∣ 2 t - 1 ∣ > 3 t + 5

t < - \frac{4}{5}

Interval Notation

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

Decimal Notation

t < - 0.8

Solution steps

∣ 2 t - 1 ∣ > 3 t + 5

Find positive and negative intervals

t < \frac{1}{2}, t \geq \frac{1}{2}

Solve the inequality for each interval

t < - \frac{4}{5} or No Solution

Merge Overlapping Intervals

t < - \frac{4}{5}

\frac{- 4}{1 - x} < 8

45 c^{2} - 320

54

∣ 2 x - 1 ∣ + ∣ 4 - 2 x ∣ = 10

3 y^{2} + 46 y - 32