Algebra
# Linear Inequalities

What is the maximum integer $x$ that satisfies the inequality $3(x+1)-30 < x+15?$

Solve $\displaystyle \frac{x-3}{3}>2x+14.$

Solve $\frac{\frac{x}{5}}{6} > 1.$

What is the maximum value of $x$ that satisfies $\frac{x}{4} + 7 \leq 15$?