Solve 2<x^2<5 - ScanMath

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Type your math problem... 2<x^2<5

x

Question

Solve the inequality

x \in (- 5, - 2) \cup (2, 5)

Evaluate

2 < x^{2} < 5

Separate into two inequalities

{2 < x^{2} x^{2} < 5

Solve the inequality

More Steps

Evaluate

2 < x^{2}

Swap the sides of the inequality

x^{2} > 2

Take the 2 -th root on both sides of the inequality

x^{2} > 2

Calculate

∣ x ∣ > 2

Separate the inequality into 2 possible cases

x > 2 x < - 2

Find the union

x \in (- \infty, - 2) \cup (2, + \infty)

{x \in (- \infty, - 2) \cup (2, + \infty) x^{2} < 5

Solve the inequality

More Steps

Evaluate

x^{2} < 5

Take the 2 -th root on both sides of the inequality

x^{2} < 5

Calculate

∣ x ∣ < 5

Separate the inequality into 2 possible cases

{x < 5 x > - 5

Find the intersection

- 5 < x < 5

{x \in (- \infty, - 2) \cup (2, + \infty) - 5 < x < 5

Solution

x \in (- 5, - 2) \cup (2, 5)

Show Solution

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