Solve ${{x}^{2}}-5x+6\le 0$

Solve the inequality $(x+4)(x+1)\le 0$

Evaluate $4(x-2)<8(x+3)$

Solve the inequality $\tfrac{1}{2}x+\tfrac{1}{3}>\tfrac{1}{3}x+1$

Evaluate the inequality $\frac{x}{2}+\frac{3}{4}\le \frac{5x}{6}-\frac{7}{12}$

What is the solution of $\frac{x-5}{x+3}<-1$ ?

$\begin{align}  & \text{Solve for }x:\text{ }\left| x-2 \right|<3 \\ & \text{(}A)\text{ }x<1\text{  }(B)\text{ }x<5\text{ }(C)\text{ }-2<x<3\text{  (D) }-1<x<5 \\\end{align}$