Algebra
# Linear Inequalities

Solve for \(x\):\[ \lvert x - 7 \rvert < 15.\]

How many positive integers less than 100 satisfy \[ \lvert 13-x \rvert > 85 ?\]

How many integers \(x\) satisfy \[\left|x\right| + \left|20-x\right| \le 20?\]

What is the smallest integer \(x\) that satisfies \[ |x-6| < 2x-23?\]