Question

Which of the following inequalities matches the graph?

Answer 1

Since the shading on the left side, and the line goes through the x axis, your answer would be B.

Answer 2

Answer:

The inequality is:

x less than or equal to −7

Step-by-step explanation:

We are asked to find the inequality that satisfy this graph.

graph of an inequality with a solid vertical line through the point (−7, 0) and shading to the left of the line.

Solid line means that the inequality is an inequality with an equality sign.

Now as the line is vertical and passes through the point (-7,0).

This means that the equation of the line is:

x= -7.

Also, it is given that the shaded region is to the left of the line this means that the origin is not included in the domain.

Hence, the inequality that holds this line is:

x≤-7

( Since the inequality does not satisfy the zero point test.

As 0≤-7 is a false inequality)