|x|^2<9

Solution

∣ x ∣^{2} < 9

- 3 < x < 3

Interval Notation

(- 3, 3)

Solution steps

∣ x ∣^{2} < 9

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

- 3 < x < 0 or 0 \leq x < 3

Merge Overlapping Intervals

- 3 < x < 3

x^{2} - x < 2

\frac{∣ 2 + x ∣}{∣ 3 - x ∣} \geq 3

∣ x - 3 ∣ > - 1

∣ 6 - w ∣ < 6

∣ 3 x ∣ + 5 < 0