Which of the following inequalities matches the graph?

graph of an inequality with a solid horizontal line through the point (0, -1) and shading above the line

a. x less than or greater to -1

b. x greater than or equal to -1

c. y less than or greater to -1

d. y greater than or equal to -1

Option: D is correct.

The inequality is given as:

D. y greater than or equal to -1

Step-by-step explanation:

It is given that the graph of an inequality with a solid horizontal line through the point (0, -1) and shading above the line

It means that the equation of line is:

y=-1 for different values of x.

Also the shaded region is above the line i..e towards the origin it means that it must satisfy 0-test.

Hence, the inequality is given as:

y≥-1 ( since the line is solid so the inequality will contain a equality sign as well)