|x|<|x+1|

Solution

∣ x ∣ < ∣ x + 1 ∣

x > - \frac{1}{2}

Solution steps

∣ x ∣ < ∣ x + 1 ∣

Find positive and negative intervals

x < - 1, - 1 \leq x < 0, x \geq 0

Solve the inequality for each interval

No Solution or - \frac{1}{2} < x < 0 or x \geq 0

Merge Overlapping Intervals

x > - \frac{1}{2}

∣ 2 x - 6 ∣ > x

\frac{( 2 x - 3 )}{5} \geq 3

∣ w + 7 ∣ > 2

\frac{∣ - 6 + p ∣}{8} > - 3

∣ x + 1 ∣ + ∣ x - 1 ∣ > 2 x