Question 1

Algebra Level 4

\[\left\{ {\begin{array}{*{20}{c}} {3x - a \ge 0}\\ {\left| x \right| < \frac{b}{2}} \end{array}} \right.\] There are four integers that satisfy the system of inequalities about x above, \(-1, 0, 1, 2\). Then, how many ordered pairs \((a,b)\) can satisfy these inequalities?

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