In the \(xy\)-plane, what is the area of the region bounded by \(y +2x \ge 3, y -x \ge -6\) and the line, that is perpe

[M7MBA]

In the \(xy\)-plane, what is the area of the region bounded by \(y +2x \ge 3, y -x \ge -6\) and the line, that is perpendicular to \(x = 0\) and passes through the origin?

A. \(\dfrac94\)

B. \(\dfrac{27}4\)

C. \(9\)

D. \(\dfrac{27}2\)

E. Cannot be determined

Answer: B

Source: e-GMAT