Question

Which of the following inequalities matches the graph?

Answer 1

Given:

The graph of an inequality.

To find:

The inequality for the given graph.

Solution:

From the given graph it is clear that the related line is a vertical line parallel to the y-axis at a distance of 7 units from the left of y-axis. It intersect the x-axis at x=-7.

So, the related equation for boundary line is

$x=-7$

The shaded region is on the left side of the boundary line. it means, the value of x which are less than -7 are included in the solution set.

The boundary line is a solid line. It means -7 is also included in the solution set.

The value of x is less than or equal to -7. So, the inequality for shaded region is

$x\leq -7$

Therefore, the correct option is B.