What is |3x-4|>2-5x ?

The solution to |3x-4|>2-5x is x>-1

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|3x-4|>2-5x

∣ 3 x - 4 ∣ > 2 - 5 x

x > - 1

Solution steps

∣ 3 x - 4 ∣ > 2 - 5 x

Find positive and negative intervals

x < \frac{4}{3}, x \geq \frac{4}{3}

Solve the inequality for each interval

- 1 < x < \frac{4}{3} or x \geq \frac{4}{3}

Merge Overlapping Intervals

x > - 1

\frac{2}{( x - 4 )} > 1

x^{2} - 6 x + 9 \geq 4

\frac{3}{x + 1} > 2

∣ 2 x ∣ 3 - x ∣ - 2 ∣ \leq 4

∣ 2 x - 11 ∣ > - 3