Answer:
y < x + 5
Step-by-step explanation:
First, notice that the line is a dotted line, which means that the inequality used will not have an equal sign as a part of it. Instead, the inequality will either be "greater than" (>) or "less than" (<) and not "greater than or equal to" (≥) or "less than or equal to" (≤).
This means that our two remaining choices are y > x + 5 and y < x + 5.
According to the answer choices, we can see that the line itself has the equation of y = x + 5; we just need to find the line that represents the shaded part of the graph.
Notice that one of the points included in the shaded region is (0, 0). Let's plug in 0 for x and 0 for y in each of the two remaining choices said above and see which one will be a true statement. The one that is a true statement will be our answer:
y > x + 5
0 > 0 + 5
0 > 5
This is clearly wrong, so the answer is NOT y > x + 5.
y < x + 5
0 < 0 + 5
0 < 5
This is true, so the answer is y < x + 5.
