Solve 2x^2 | x | ≥ 2 \sqrt 2

Evaluate

2 x^{2} ∣ x ∣ \geq 22

Transform the expression

2 x^{2} \times x \geq 22, x \geq 0 2 x^{2} (- x) \geq 22, x < 0

Calculate

More Steps

x \geq 62, x \geq 0 2 x^{2} (- x) \geq 22, x < 0

Calculate

More Steps

x \geq 62, x \geq 0 x \leq - 62, x < 0

Calculate

x \geq 62 x \leq - 62, x < 0

Solution

x \in (- \infty, - 62] \cup [62, + \infty)

Solve the inequality