Which of the following inequalities matches the graph?
x  −7
x  −7
y  −7
y  −7

Answer:
B. [tex]x\leq -7[/tex]
Step-by-step explanation:
We have been given a graph and we are asked to find the inequality that is represented by our given graph.
We can see from our graph that at x equals -7 we have a vertical line and the shaded part of graph is under x equals -7.
As we have a solid line at x equals -7, so this means that our inequality includes -7. So the shaded part of graph represents the x values less than or equal to -7.
We can represent this information in an inequality as:
[tex]x\leq -7[/tex]
Therefore, the inequality [tex]x\leq -7[/tex] matches with our given graph and option B is the correct choice.