Algebra
# Linear Inequalities

What is the greatest integer value of $x$ that satisfies the inequality $-5 \leq 2x - 3 < 3?$

Solve the simultaneous inequalities

$\begin{aligned} -3x + 4 &\ge 1 \\ 2x - 5 &< 5x + 1. \end{aligned}$

Solve the inequalities $\dfrac{x-2}{3} < \dfrac{x+5}{4} < \dfrac{x-1}{2}.$

$x$ represented by the arrows in the number line above is equivalent to $x - a < -x - 1 \le x + b,$ what is $a + b ?$

If the range of