The inequalities that match the number line are
10.x≥-2
11.x<-2
Step-by-step explanation
The inequalities can be determined from the number line. In the first number line the arrow starts from the point -2 and then extends to infinity. The point -2 is marked by a solid circle which means that the point too is included.
so x≥-2 becomes the inequality corresponding to the number line.
In the next number line the arrow starts from the point -2 but the point is marked by an unshaded circle which indicates that the point is not included .
therefore the inequlity x<-2 represents the number line.