Question

What is the system of inequality for this graph

Answer 1

see below

Explanation:

1. Find the equation of the solid line: y=x+4

2. Notice the shading is ABOVE the SOLID line, so y ≥ x+4.

3. Find the equation of the dotted line: y = -x - 1.

4. Again, the shading is ABOVE the line, so y > -x - 1

5. Check:

Select any point in the shaded region - such as (0,8)

Replace x with 0 and y with 8 in BOTH inequalities to see if they make TRUE statements

Ex: 8 ≥ 0 + 4? YES

8 > -0 -1? YES