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

The solution to x^2-|5x-3|-x>2 is x 2sqrt(2)+3

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

x^{2} - ∣ 5 x - 3 ∣ - x > 2

x < - 5 or x > 22 + 3

Interval Notation

(- \infty, - 5) \cup (22 + 3, \infty)

Decimal Notation

x < - 5 or x > 5.82842 \dots

Solution steps

x^{2} - ∣ 5 x - 3 ∣ - x > 2

Find positive and negative intervals

x < \frac{3}{5}, x \geq \frac{3}{5}

Solve the inequality for each interval

x < - 5 or x > 22 + 3

9 - 2 ∣ 4 x + 1 ∣ > 3

x + ∣ 3 - 2 x ∣ > ∣ x + 1 ∣ - 1

∣ x - 1 ∣^{x^{4} - 4 x^{3} + 3 x^{2}} < 1

∣ 15 - x ∣ > 25

∣ 2 x - 1 ∣ < ∣ x + 1 ∣

What is x^2-|5x-3|-x>2 ?
The solution to x^2-|5x-3|-x>2 is x<-5\lor x>2sqrt(2)+3