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 $|x-6| < 2x-23?$