Question

Which of the following inequalities matches the graph? (1 point)
-10
-0
10
1. x>-3
2. x<-3
3. y>-3
4. y<-3

Answer 1

Given:

The graph of an inequality.

To find:

The inequality.

Solution:

From the given graph it is clear that the boundary line is a vertical line parallel to y-axis at the distance of 3 units from the left of y-axis. So, the equation of boundary line is

$x=-3$

Now, the shaded portion lies on the left of the boundary line. It means the values which are less than 0 are included in the solution set.

The boundary line is a dotted line. So, x=-3 is not included in the solution set.

So, the required inequality is

$x<-3$  

Therefore, the correct option is B.