What is |6x-5|>x^2+3x-5 ?

The solution to |6x-5|>x^2+3x-5 is -10<x<3

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|6x-5|>x^2+3x-5

∣ 6 x - 5 ∣ > x^{2} + 3 x - 5

- 10 < x < 3

Interval Notation

(- 10, 3)

Solution steps

∣ 6 x - 5 ∣ > x^{2} + 3 x - 5

Find positive and negative intervals

x < \frac{5}{6}, x \geq \frac{5}{6}

Solve the inequality for each interval

- 10 < x < \frac{5}{6} or \frac{5}{6} \leq x < 3

Merge Overlapping Intervals

- 10 < x < 3

\frac{b + 4}{7} = - 3

8 x^{2} + 6 x y - 9 y^{2}

lo g_{2} (512)

\frac{6}{10}

\frac{2 x + 1}{3} = \frac{x + 5}{2}