What is |4x-1|>-5x-2 ?

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

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|4x-1|>-5x-2

∣ 4 x - 1 ∣ > - 5 x - 2

x > - 3

Interval Notation

(- 3, \infty)

Solution steps

∣ 4 x - 1 ∣ > - 5 x - 2

Find positive and negative intervals

x < \frac{1}{4}, x \geq \frac{1}{4}

Solve the inequality for each interval

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

Merge Overlapping Intervals

x > - 3

- 3 y > 24

3 = - 3 x^{2}

5 n + 34 = - 2 (1 - 7 n)

12 x^{3} + 12 x^{2}

- \frac{8}{10}