D1 - Linear inequalities $-$ Immediate

Examples :   $3x\le 5;2x-1>0$

D2 - Linear inequalities $-$ Like terms

Examples :   $5x\ge 3x+2;-x+3<4x+5+2x$

D3 - Linear inequalities $-$ Like terms

Examples :   $2.3x+3.4>-2.6x-1;\frac{4x-5}{3}\le \frac{-x-1}{6}$

D4 - Linear inequalities $-$ Expansion

Examples : $3x+2-3x<4x+x-5$     $2\left(2x+1\right)\ge 3\left(-2x+5\right)$

D5 - Linear inequalities $-$ Expansion

Examples :   $5\left(1.3x+3.4\right)>4\left(-2.9x-5\right);3\left(\frac{x}{3}+2\right)\le 5\left(\frac{x}{6}-5\right)$

D6 - Linear inequalities $-$ Expansion  

Examples : $\frac{5x}{3}+5\le \frac{4x}{3}+5;\frac{2x+2}{3}\ge \frac{4x-5}{6}-\frac{3x+3}{2}$

D8 - Inequalities witt 0, 1 or an infinity of solutions

Examples : $2x>2-2x+4x;4\left(3x-5\right)\le 4\left(x-4\right)$