Question

1. Which of the following sets of inequality represent the second quadrant?

(a) x < 0, y < 0 

(b) x > 0, y > 0 

(c) x < 0, y > 0 

(d) x > 0, y < 0 

2. Write the system of inequalities that represents the shaded rectangle in the figure given below:

Answer 1

1. (a) x < 0, y < 0 

2. The shaded figure is a rectangle. The side parallel to x axis are y = -1 and y = 1. The side perpendicular to x axis are x = 2 and x = -2. Hence the inequality that represent the shaded region are -2 ≤ x ≤ 2; -1 ≤ y ≤ 1.