|x-3|<x+2

Solution

∣ x - 3 ∣ < x + 2

x > \frac{1}{2}

Interval Notation

(\frac{1}{2}, \infty)

Decimal Notation

x > 0.5

Solution steps

∣ x - 3 ∣ < x + 2

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

\frac{1}{2} < x < 3 or x \geq 3

Merge Overlapping Intervals

x > \frac{1}{2}

2 n^{4} + 8 n^{3} + 11 n^{2} + 6 n + 1

Y = 0.00007 \cdot 1. 2^{2} - 0.003 \cdot 1.2 + 0.0063

0 + (9.76 - \frac{12.5}{103} (0)) 0.5

x^{2} - x - 5 < 3

n^{2} + 77 = 0