Question

4-93.

Draw the graph of the system of inequalities below
y greater than or equal to |x|-3
Y less than or equal to -|x|+5
a. What polygon does the intersection form? Justify your answer.
b. What are its vertices?
c. Find the area of the intersections.

Answer 1

a. The polygon is a square of sides 5.7 units

b. The vertices are : (0,5) ,(4,1) ,(-4,1) ,(0,-3)

c. 32 unit square

Explanation:

The system of inequalities are given as;

i) y ≥ |x|-3

ii) y ≤ -|x|+5

a) The graph is as shown attached below. The polygon is a square of sides 5.7 units

b) The vertices are : (0,5) ,(4,1) ,(-4,1) ,(0,-3)

c) The area is : l² = 5.7² = 32 unit square